@inproceedings{MuellerLudwig,
  author    = {M{\"u}ller, Matthias and Ludwig, Horst-Michael},
  title     = {Sulfatangriff magnesiumhaltiger W{\"a}sser auf M{\"o}rtel unterschiedlicher Zusammensetzung},
  series = {Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar},
  booktitle = {Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar},
  editor    = {Ludwig, Horst-Michael},
  organization    = {F.A.Finger-Institut f{\"u}r Baustoffkunde, Bauhaus-Universit{\"a}t Weimar},
  isbn      = {978-3-00-034075-8 (Bauhaus-Universit{\"a}tsverlag Weimar)},
  doi       = {10.25643/bauhaus-universitaet.4873},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20240507-48732},
  pages     = {489-496},
  abstract  = {Die besondere Aggressivit{\"a}t von hochkonzentrierten Magnesiumsulfatl{\"o}sungen bei Einwirkung auf Beton ist seit vielen Jahrzehnten bekannt. Neben dem Sulfat greift zus{\"a}tzlich auch das Magnesium den Zementstein an. Bei hohen L{\"o}sungskonzentrationen nimmt der Magnesiumangriff gegen{\"u}ber dem Sulfatangriff sogar eine dominante Rolle ein. Magnesiumgehalte unter 300 mg/l im Grundwasser gelten allerdings bislang als nicht angreifend. In Auslagerungs- und Laborversuchen wurde jedoch festgestellt, dass auch bei praxisrelevanten Magnesium- (<300 mg/l) und Sulfatgehalten (1.500 mg/l) das Magnesium zu einer deutlichen Versch{\"a}rfung des Sulfatangriffes bei niedrigen Temperaturen f{\"u}hrte. Diese Versch{\"a}rfung trat bei M{\"o}rteln und Betonen auf, bei denen der erh{\"o}hte Sulfatwiderstand durch einen teilweisen Zementersatz mit 20 \% Flugasche zu einem CEM II/A-LL erreicht werden sollte, gem{\"a}ß der Flugascheregelung nach EN 206-1/DIN 1045-2. Bei einem teilweisen Zementersatz durch 30 \% Flugasche konnte auch in magnesiumhaltigen Sulfatl{\"o}sungen eine deutliche Verbesserung des Sulfatwiderstandes erreicht werden. M{\"o}rtel mit HS-Zement als Bindemittel wiesen keinerlei Sch{\"a}den auf. Schadensverursachend war eine Kombination mehrerer Einfl{\"u}sse. Zum einen wurde der Sulfatwiderstand des Zement-Flugasche-Systems durch die unzureichende Reaktion der Flugasche infolge der niedrigen Lagerungstemperatur geschw{\"a}cht. Zum anderen konnte durch die Einwirkung des Magnesiums in der Randzone vermutlich eine Destabilisierung der C-S-H-Phasen erfolgen, wodurch die Thaumasitbildung an dieser Stelle forciert wurde. Zus{\"a}tzlich wurde durch den Portlanditverbrauch und die pH-Wert-Absenkung in der Randzone die puzzolanische Reaktion der Flugasche behindert.},
  subject      = {Beton},
  language  = {de}
}
@inproceedings{MuellerEhrhardtLudwig,
  author    = {M{\"u}ller, Matthias and Ehrhardt, Dirk and Ludwig, Horst-Michael},
  title     = {Optimierung der Nachbehandlung von Waschbetonoberfl{\"a}chen},
  series = {Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar},
  booktitle = {Tagungsband 18. Ibausil - 18. Internationale Baustofftagung : 12.-15. September 2012, Weimar},
  editor    = {Ludwig, Horst-Michael},
  organization    = {F.A.Finger-Institut f{\"u}r Baustoffkunde, Bauhaus-Universit{\"a}t Weimar},
  isbn      = {978-3-00-034075-8},
  doi       = {10.25643/bauhaus-universitaet.4872},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20240226-48722},
  pages     = {794-781},
  abstract  = {Der Nachbehandlung eines Fahrbahndeckenbetons kommt zum Erzielen eines hohen Frost-Tausalz-Widerstandes der fertigen Betondecke eine besondere Bedeutung zu. Bei der Waschbetonbauweise erfolgt die Nachbehandlung in mehreren Schritten. Eine erste Nachbehandlung gew{\"a}hrleistet den Verdunstungsschutz des Betons bis zum Zeitpunkt des Ausb{\"u}rstens des verz{\"o}gerten Oberfl{\"a}chenm{\"o}rtels. Daran schließt sich die zweite Nachbehandlung an, in der Regel durch Aufspr{\"u}hen eines fl{\"u}ssigen Nachbehandlungsmittels. Der zweite Nachbehandlungsschritt ist entscheidend f{\"u}r den Frost-Tausalz-Widerstand der Betondecke. Im Rahmen eines Forschungsprojektes wurde daher untersucht, inwiefern durch eine Optimierung der zweiten Nachbehandlung der Frost-Tausalz-Widerstand von Waschbetonoberfl{\"a}chen erh{\"o}ht werden kann, insbesondere bei Verwendung h{\"u}ttensandhaltiger Zemente. Schon durch eine einmalige Nassnachbehandlung wurde eine deutlich h{\"o}herer Widerstand der Waschbetons gegen Frost-Tausalz-Angriff erzielt.},
  subject      = {Beton},
  language  = {de}
}
@periodical{OPUS4-4848,
  title     = {Schwerpunkt Kollektiv},
  volume    = {2012},
  number    = {3.2012, Heft 2},
  editor    = {Engell, Lorenz and Siegert, Bernhard},
  publisher = {Felix Meiner Verlag},
  address   = {Hamburg},
  organization    = {Internationales Kolleg f{\"u}r Kulturtechnikforschung und Medienphilosophie},
  issn      = {2366-0767},
  doi       = {10.28937/ZMK-3-2},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20240507-48485},
  pages     = {208},
  abstract  = {Die neuere und h{\"o}chst produktive Konjunktur des »Kollektiv«-Begriffs in Soziologie und Kulturtheorie, wie sie sich insbesondere durch die Ent-faltung der Akteur-Netzwerk-Theorie herausgebildet hat, ist zun{\"a}chst durch vier miteinander zusammenh{\"a}ngende Eigent{\"u}mlichkeiten gekennzeichnet. Erstens bezeichnet das »Kollektiv« in diesem Sinne vor allem anderen eine Ansammlung von Entit{\"a}ten zu einem als Ganzem operativen, m{\"o}glicherweise sogar handlungs- und reflexionsf{\"a}higen Komplex. Die Operationen werden dabei erstens im »Kollektiv« und durch das »Kollektiv« ausgef{\"u}hrt, gleichzeitig jedoch sind sie es, die das »Kollektiv« {\"u}berhaupt erst aufspannen und relationieren und so zusammenhalten und reproduzieren bzw. variieren. Das Besondere daran ist zweitens - und das unterscheidet den »Kollektiv«-Begriff etwa von demjenigen des Systems -, dass es keine Subsumption der beteiligten Entit{\"a}ten unter das kollektive Gebilde gibt. Die Operationsf{\"a}higkeit und der Zusammenschluss f{\"u}hren weder zu einem Aufgehen des Einzelnen im Ganzen, noch zerf{\"a}llt im R{\"u}ckfall das Ganze in eine bloße Gesamtheit aufsummierbarer Teile und Effekte. Kurz: Das »Kollektiv« kann nicht {\"u}ber die Beziehung von Ganzem und Teil definiert und schon gar nicht nach einer dieser beiden Seiten hin aufgel{\"o}st werden. Drittens, und das ist der vermutlich plakativste Zug des neuen »Kollektiv«-Begriffs, umfasst das »Kollektiv« Entit{\"a}ten v{\"o}llig heterogener Art, genauer: Es bringt solche Gegebenheiten zusammen, die nach klassischer ontologischer Tradition verschiedenen Seinsbezirken zugerechnet worden w{\"a}ren. Das sind vor allem die ber{\"u}hmten menschlichen und nichtmenschlichen Akteure Bruno Latours, das sind also Personen und Artefakte, Kultur- und Naturdinge, Intelligibles und Sensibles, Reflexives und Irreflexives, Technisches und {\"A}sthetisches, Bilder und Objekte oder sogar Materielles und Immaterielles wie Geister, G{\"o}tter und Ahnen, so bei Descola oder Gell. Und viertens schließlich ist der »Kollektiv«-Begriff speziell ein Kontrastbegriff , der innerhalb der »neuen Soziologie« der Akteur-Netzwerk-Theorie an die Stelle des Gesellschaftsbegriff s treten soll, eben um dessen humanozentrische Pr{\"a}gung einerseits und seine subsumptive, generalisierende und anti-partikulare Tradition andererseits abzustreifen.},
  subject      = {Medienwissenschaft},
  language  = {de}
}
@periodical{OPUS4-4847,
  title     = {Schwerpunkt Entwerfen},
  volume    = {2012},
  number    = {3.2012, Heft 1},
  editor    = {Engell, Lorenz and Siegert, Bernhard},
  publisher = {Felix Meiner Verlag},
  address   = {Hamburg},
  organization    = {Internationales Kolleg f{\"u}r Kulturtechnikforschung und Medienphilosophie},
  issn      = {2366-0767},
  doi       = {10.28937/ZMK-3-1},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20240507-48473},
  pages     = {225},
  abstract  = {Entwerfen ist ein {\"a}usserst unscharfer Begriff. Mit ihm kann je nach Kontext ebenso Zeichnen, Planen, Modellieren, Projektieren oder Darstellen gemeint sein wie Erfi nden, Entwickeln, Konzipieren, Komponieren und {\"a}hnliches. Wenn Architekten vom Entwurf reden, verwenden sie das Wort meist in einer Bedeutung, die auf den kunsttheoretischen Diskurs zur{\"u}ckgeht, der im Florenz des 16. Jahrhunderts entstanden ist: Entwurf als disegno. Dementsprechend konnte Entwerfen in der kunsthermeneutischen Rezeption schließlich mit dem ›k{\"u}nstlerischen Schaff ensprozess‹ selbst synonym werden. Im Entwerfen meint man der geistigen Verm{\"o}gen und Prozesse im k{\"u}nstlerischen Subjekt habhaft zu werden. An diese Tradition soll hier bewusst nicht angekn{\"u}pft werden. Um das Entwerfen als Kulturtechnik in seiner historischen Bedingtheit zu beschreiben, muss es aus dem anthropozentrischen Ursprung herausger{\"u}ckt werden, an den es der florentinische kunsttheoretische Diskurs versetzt hat. Statt das Entwerfen als fundamentalen Akt k{\"u}nstlerischen Schaff ens zu begreifen und als anthropologische Konstante der Geschichte zu entziehen, w{\"a}re eben diese Konzeption als historisches Resultat von diskursiven, technischen und institutionellen Praktiken zu befragen.},
  subject      = {Medienwissenschaft},
  language  = {de}
}
@article{SimpsonBordasTrevelyanetal.,
  author    = {Simpson, R. and Bordas, St{\´e}phane Pierre Alain and Trevelyan, J. and Kerfriden, Pierre and Rabczuk, Timon},
  title     = {An Isogeometric Boundary Element Method for elastostatic analysis},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  doi       = {10.1016/j.cma.2011.08.008},
  abstract  = {The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ChauDinhZiLeeetal.,
  author    = {Chau-Dinh, T. and Zi, Goangseup and Lee, P.S. and Song, Jeong-Hoon and Rabczuk, Timon},
  title     = {Phantom-node method for shell models with arbitrary cracks},
  series = {Computers \& Structures},
  journal   = {Computers \& Structures},
  doi       = {10.1016/j.compstruc.2011.10.021},
  abstract  = {A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiSamaniegoSamaniegoetal.,
  author    = {Talebi, Hossein and Samaniego, C. and Samaniego, Esteban and Rabczuk, Timon},
  title     = {On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  doi       = {10.1002/nme.3275},
  pages     = {1009 -- 1027},
  abstract  = {Meshfree methods (MMs) such as the element free Galerkin (EFG)method have gained popularity because of some advantages over other numerical methods such as the finite element method (FEM). A group of problems that have attracted a great deal of attention from the EFG method community includes the treatment of large deformations and dealing with strong discontinuities such as cracks. One efficient solution to model cracks is adding special enrichment functions to the standard shape functions such as extended FEM, within the FEM context, and the cracking particles method, based on EFG method. It is well known that explicit time integration in dynamic applications is conditionally stable. Furthermore, in enriched methods, the critical time step may tend to very small values leading to computationally expensive simulations. In this work, we study the stability of enriched MMs and propose two mass-lumping strategies. Then we show that the critical time step for enriched MMs based on lumped mass matrices is of the same order as the critical time step of MMs without enrichment. Moreover, we show that, in contrast to extended FEM, even with a consistent mass matrix, the critical time step does not vanish even when the crack directly crosses a node.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ChenRabczukLiuetal.,
  author    = {Chen, Lei and Rabczuk, Timon and Liu, G.R. and Zeng, K.Y. and Kerfriden, Pierre and Bordas, St{\´e}phane Pierre Alain},
  title     = {Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  doi       = {10.1016/j.cma.2011.08.013},
  abstract  = {This paper presents a strain smoothing procedure for the extended finite element method (XFEM). The resulting "edge-based" smoothed extended finite element method (ESm-XFEM) is tailored to linear elastic fracture mechanics and, in this context, to outperform the standard XFEM. In the XFEM, the displacement-based approximation is enriched by the Heaviside and asymptotic crack tip functions using the framework of partition of unity. This eliminates the need for the mesh alignment with the crack and re-meshing, as the crack evolves. Edge-based smoothing (ES) relies on a generalized smoothing operation over smoothing domains associated with edges of simplex meshes, and produces a softening effect leading to a close-to-exact stiffness, "super-convergence" and "ultra-accurate" solutions. The present method takes advantage of both the ES-FEM and the XFEM. Thanks to the use of strain smoothing, the subdivision of elements intersected by discontinuities and of integrating the (singular) derivatives of the approximation functions is suppressed via transforming interior integration into boundary integration. Numerical examples show that the proposed method improves significantly the accuracy of stress intensity factors and achieves a near optimal convergence rate in the energy norm even without geometrical enrichment or blending correction.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenXuanRabczukNguyenThoietal.,
  author    = {Nguyen-Xuan, Hung and Rabczuk, Timon and Nguyen-Thoi, T. and Tran, T. and Nguyen-Thanh, Nhon},
  title     = {Computation of limit and shakedown loads using a node-based smoothed finite element method},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  doi       = {10.1002/nme.3317},
  pages     = {287 -- 310},
  abstract  = {This paper presents a novel numerical procedure for computing limit and shakedown loads of structures using a node-based smoothed FEM in combination with a primal-dual algorithm. An associated primal-dual form based on the von Mises yield criterion is adopted. The primal-dual algorithm together with a Newton-like iteration are then used to solve this associated primal-dual form to determine simultaneously both approximate upper and quasi-lower bounds of the plastic collapse limit and the shakedown limit. The present formulation uses only linear approximations and its implementation into finite element programs is quite simple. Several numerical examples are given to show the reliability, accuracy, and generality of the present formulation compared with other available methods.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukDiasdaCostaetal.,
  author    = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D. and Piresh, E.B.},
  title     = {Implicit solutions with consistent additive and multiplicative components},
  series = {Finite Elements in Analysis and Design},
  journal   = {Finite Elements in Analysis and Design},
  doi       = {10.1016/j.finel.2012.03.007},
  pages     = {15 -- 31},
  abstract  = {This work describes an algorithm and corresponding software for incorporating general nonlinear multiple-point equality constraints in a implicit sparse direct solver. It is shown that direct addressing of sparse matrices is possible in general circumstances, circumventing the traditional linear or binary search for introducing (generalized) constituents to a sparse matrix. Nested and arbitrarily interconnected multiple-point constraints are introduced by processing of multiplicative constituents with a built-in topological ordering of the resulting directed graph. A classification of discretization methods is performed and some re-classified problems are described and solved under this proposed perspective. The dependence relations between solution methods, algorithms and constituents becomes apparent. Fracture algorithms can be naturally casted in this framework. Solutions based on control equations are also directly incorporated as equality constraints. We show that arbitrary constituents can be used as long as the resulting directed graph is acyclic. It is also shown that graph partitions and orderings should be performed in the innermost part of the algorithm, a fact with some peculiar consequences. The core of our implicit code is described, specifically new algorithms for direct access of sparse matrices (by means of the clique structure) and general constituent processing. It is demonstrated that the graph structure of the second derivatives of the equality constraints are cliques (or pseudo-elements) and are naturally included as such. A complete algorithm is presented which allows a complete automation of equality constraints, avoiding the need of pre-sorting. Verification applications in four distinct areas are shown: single and multiple rigid body dynamics, solution control and computational fracture.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{JiangZhaoZhouetal.,
  author    = {Jiang, Jin-Wu and Zhao, Jun-Hua and Zhou, K. and Rabczuk, Timon},
  title     = {Superior thermal conductivity and extremely high mechanical strength in polyethylene chains from ab initio calculation},
  series = {Journal of Applied Physics},
  journal   = {Journal of Applied Physics},
  doi       = {10.1063/1.4729489},
  abstract  = {The upper limit of the thermal conductivity and the mechanical strength are predicted for the polyethylene chain, by performing the ab initio calculation and applying the quantum mechanical non-equilibrium Green's function approach. Specially, there are two main findings from our calculation: (1) the thermal conductivity can reach a high value of 310 Wm-1 K-1 in a 100 nm polyethylene chain at room temperature and the thermal conductivity increases with the length of the chain; (2) the Young's modulus in the polyethylene chain is as high as 374.5 GPa, and the polyethylene chain can sustain 32.85\%±0.05\% (ultimate) strain before undergoing structural phase transition into gaseous ethylene.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{JiangWangRabczuk,
  author    = {Jiang, Jin-Wu and Wang, Bing-Shen and Rabczuk, Timon},
  title     = {Acoustic and breathing phonon modes in bilayer graphene with Moire-acute patterns},
  series = {Applied Physics Letters},
  journal   = {Applied Physics Letters},
  doi       = {10.1063/1.4735246},
  abstract  = {The lattice dynamics properties are investigated for twisting bilayer graphene. There are big jumps for the inter-layer potential at twisting angle θ=0° and 60°, implying the stability of Bernal-stacking and the instability of AA-stacking structures, while a long platform in [8,55]° indicates the ease of twisting bilayer graphene in this wide angle range. Significant frequency shifts are observed for the z breathing mode around θ=0° and 60°, while the frequency is a constant in a wide range [8,55]°. Using the z breathing mode, a mechanical nanoresonator is proposed to operate on a robust resonant frequency in terahertz range.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiZiSilanietal.,
  author    = {Talebi, Hossein and Zi, Goangseup and Silani, Mohammad and Samaniego, Esteban and Rabczuk, Timon},
  title     = {A simple circular cell method for multilevel finite element analysis},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2012/526846},
  abstract  = {A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenVinhBakarMsekhetal.,
  author    = {Nguyen-Vinh, H. and Bakar, I. and Msekh, Mohammed Abdulrazzak and Song, Jeong-Hoon and Muthu, Jacob and Zi, Goangseup and Le, P. and Bordas, St{\´e}phane Pierre Alain and Simpson, R. and Natarajan, S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials},
  series = {Engineering Fracture Mechanics},
  journal   = {Engineering Fracture Mechanics},
  doi       = {10.1016/j.engfracmech.2012.04.025},
  pages     = {19 -- 31},
  abstract  = {We present an extended finite element formulation for dynamic fracture of piezo-electric materials. The method is developed in the context of linear elastic fracture mechanics. It is applied to mode I and mixed mode-fracture for quasi-steady cracks. An implicit time integration scheme is exploited. The results are compared to results obtained with the boundary element method and show excellent agreement.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NatarajanChakrabortyThangaveletal.,
  author    = {Natarajan, S. and Chakraborty, S. and Thangavel, M. and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon},
  title     = {Size dependent free flexural vibration behavior of functionally graded nanoplates},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {74 -- 80},
  abstract  = {Size dependent free flexural vibration behavior of functionally graded nanoplates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ThaiNguyenXuanNguyenThanhetal.,
  author    = {Thai, Chien H. and Nguyen-Xuan, Hung and Nguyen-Thanh, Nhon and Le, T.H. and Nguyen-Thoi, T. and Rabczuk, Timon},
  title     = {Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  doi       = {10.1002/nme.4282},
  pages     = {571 -- 603},
  abstract  = {This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoGuoRabczuk,
  author    = {Zhao, Jun-Hua and Guo, Wanlin and Rabczuk, Timon},
  title     = {An analytical molecular mechanics model for the elastic properties of crystalline polyethylene},
  series = {Journal of Applied Physics},
  journal   = {Journal of Applied Physics},
  doi       = {10.1063/1.4745035},
  abstract  = {We present an analytical model to relate the elastic properties of crystalline polyethylene based on a molecular mechanics approach. Along the polymer chains direction, the united-atom (UA) CH2-CH2 bond stretching, angle bending potentials are replaced with equivalent Euler-Bernoulli beams. Between any two polymer chains, the explicit formulae are derived for the van der Waals interaction represented by the linear springs of different stiffness. Then, the nine independent elastic constants are evaluated systematically using the formulae. The analytical model is finally validated by present united-atom molecular dynamics (MD) simulations and against available all-atom molecular dynamics results in the literature. The established analytical model provides an efficient route for mechanical characterization of crystalline polymers and related materials.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{JiangParkRabczuk,
  author    = {Jiang, Jin-Wu and Park, Harold S. and Rabczuk, Timon},
  title     = {Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism},
  series = {Nanotechnology},
  journal   = {Nanotechnology},
  abstract  = {Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiZiSilanietal.,
  author    = {Talebi, Hossein and Zi, Goangseup and Silani, Mohammad and Samaniego, Esteban and Rabczuk, Timon},
  title     = {A simple circular cell method for multilevel finite element analysis},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2012/526846},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170426-31639},
  abstract  = {A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{HildebrandHechtBliedtneretal.,
  author    = {Hildebrand, J{\"o}rg and Hecht, Kerstin and Bliedtner, Jens and M{\"u}ller, Hartmut},
  title     = {Advanced Analysis of Laser Beam Polishing of Quartz Glass Surfaces},
  series = {Physics Procedia},
  journal   = {Physics Procedia},
  doi       = {10.1016/j.phpro.2012.10.039},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170418-31372},
  pages     = {277 -- 285},
  abstract  = {The laser beam is a small, flexible and fast polishing tool. With laser radiation it is possible to finish many outlines or geometries on quartz glass surfaces in the shortest possible time. It's a fact that the temperature developing while polishing determines the reachable surface smoothing and, as a negative result, causes material tensions. To find out which parameters are important for the laser polishing process and the surface roughness respectively and to estimate material tensions, temperature simulations and extensive polishing experiments took place. During these experiments starting and machining parameters were changed and temperatures were measured contact-free. The accuracy of thermal and mechanical simulation was improved in the case of advanced FE-analysis.},
  subject      = {Laser},
  language  = {en}
}