@article{NguyenThanhValizadehNguyenetal., author = {Nguyen-Thanh, Nhon and Valizadeh, Navid and Nguyen, Manh Hung and Nguyen-Xuan, Hung and Zhuang, Xiaoying and Areias, Pedro and Zi, Goangseup and Bazilevs, Yuri and De Lorenzis, Laura and Rabczuk, Timon}, title = {An extended isogeometric thin shell analysis based on Kirchhoff-Love theory}, series = {Computer Methods in Applied Mechanics and Engineering}, journal = {Computer Methods in Applied Mechanics and Engineering}, pages = {265 -- 291}, abstract = {An extended isogeometric thin shell analysis based on Kirchho_-Love theory}, subject = {Angewandte Mathematik}, language = {en} } @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{AnitescuJiaZhangetal., author = {Anitescu, Cosmin and Jia, Yue and Zhang, Yongjie and Rabczuk, Timon}, title = {An isogeometric collocation method using superconvergent points}, series = {Computer Methods in Applied Mechanics and Engineer-ing}, journal = {Computer Methods in Applied Mechanics and Engineer-ing}, pages = {1073 -- 1097}, abstract = {An isogeometric collocation method using superconvergent points}, subject = {Angewandte Mathematik}, language = {en} } @article{RabizadehSaboorBagherzadehRabczuk, author = {Rabizadeh, Ehsan and Saboor Bagherzadeh, Amir and Rabczuk, Timon}, title = {Application of goal-oriented error estimation and adaptive mesh refinement on thermo-mechanical multifield problems}, series = {Computational Materials Science}, journal = {Computational Materials Science}, pages = {27 -- 44}, abstract = {Application of goal-oriented error estimation and adaptive mesh re_nement on thermo-mechanical multi_eld problems}, subject = {Angewandte Mathematik}, language = {en} } @article{AreiasRabczukDiasdaCosta, author = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D.}, title = {Assumed-metric spherically-interpolated quadrilateral shell element}, series = {Finite Elements in Analysis and Design}, journal = {Finite Elements in Analysis and Design}, pages = {53 -- 67}, abstract = {Assumed-metric spherically-interpolated quadrilateral shell element}, subject = {Angewandte Mathematik}, language = {en} } @article{AreiasRabczukDiasdaCosta, author = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D.}, title = {Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach}, series = {CMES: Computer Modeling in Engineering and Sciences}, journal = {CMES: Computer Modeling in Engineering and Sciences}, abstract = {Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach}, subject = {Angewandte Mathematik}, language = {en} } @article{LahmerKnabeNikullaetal., author = {Lahmer, Tom and Knabe, Tina and Nikulla, Susanne and Reuter, Markus}, title = {Bewertungsmethoden f{\"u}r Modelle des konstruktiven Ingenieurbaus}, series = {Bautechnik}, journal = {Bautechnik}, pages = {60 -- 64}, abstract = {Bewertungsmethoden f{\"u}r Modelle des konstruktiven Ingenieurbaus}, subject = {Angewandte Mathematik}, language = {de} } @article{ZhaoLuRabczuk, author = {Zhao, Jun-Hua and Lu, Lixin and Rabczuk, Timon}, title = {Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines}, series = {The Journal of Chemical Physics}, journal = {The Journal of Chemical Physics}, doi = {10.1063/1.4878115}, abstract = {Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines}, subject = {Angewandte Mathematik}, language = {en} } @article{ZhaoJiaWeietal., author = {Zhao, Jun-Hua and Jia, Yue and Wei, Ning and Rabczuk, Timon}, title = {Binding energy and mechanical stability of two parallel and crossing carbon nanotubes}, series = {Journal of Applied Mechanics}, journal = {Journal of Applied Mechanics}, abstract = {Binding energy and mechanical stability of two parallel and crossing carbon nanotubes}, subject = {Angewandte Mathematik}, language = {en} } @article{JoshiHildebrandAloraieretal., author = {Joshi, Suraj and Hildebrand, J{\"o}rg and Aloraier, Abdulkareem S. and Rabczuk, Timon}, title = {Characterization of material properties and heat source parameters in welding simulation of two overlapping beads on a substrate plate}, series = {Computational Materials Science}, journal = {Computational Materials Science}, doi = {10.1016/j.commatsci.2012.11.029}, pages = {559 -- 565}, abstract = {This paper presents several aspects of characterization of welding heat source parameters in Goldak's double ellipsoidal model using Sysweld simulation of welding of two overlapping beads on a substrate steel plate. The overlap percentages ranged from 40\% to 80\% in increments of 10\%. The new material properties of the fused metal were characterized using Weldware and their continuous cooling transformation curves. The convective and radiative heat transfer coefficients as well as the cooling time t8/5 were estimated using numerical formulations from relevant standards. The effects of the simulation geometry and mesh discretization were evaluated in terms of the factor F provided in Sysweld. Eventually, the parameters of Goldak's double ellipsoidal heat source model were determined for the welding simulation of overlapping beads on the plate and the simulated bead geometry, extent of the molten pool and the HAZ were compared with the macrographs of cross-sections of the experimental weldments. The results showed excellent matching, thus verifying this methodology for determination of welding heat source parameters.}, subject = {Angewandte Mathematik}, language = {en} } @article{ZhaoJiangWangetal., author = {Zhao, Jiyun and Jiang, Jin-Wu and Wang, L. and Guo, Wanlin and Rabczuk, Timon}, title = {Coarse-grained potentials of single-walled carbon nanotubes}, series = {Journal of the Mechanics and Physics of Solids}, journal = {Journal of the Mechanics and Physics of Solids}, abstract = {Coarse-grained potentials of single-walled carbon nanotubes}, subject = {Angewandte Mathematik}, language = {en} } @article{KoenigKnecht, author = {K{\"o}nig, Reinhard and Knecht, Katja}, title = {Comparing two evolutionary algorithm based methods for layout generation: Dense packing versus subdivision}, series = {Artificial Intelligence for Engineering Design, Analysis and Manufacturing}, journal = {Artificial Intelligence for Engineering Design, Analysis and Manufacturing}, pages = {285 -- 299}, abstract = {We present and compare two evolutionary algorithm based methods for rectangular architectural layout generation: dense packing and subdivision algorithms.We analyze the characteristics of the two methods on the basis of three floor plan sce- narios. Our analyses include the speed with which solutions are generated, the reliability with which optimal solutions can be found, and the number of different solutions that can be found overall. In a following step, we discuss the methods with respect to their different user interaction capabilities. In addition, we show that each method has the capability to generate more complex L-shaped layouts. Finally,we conclude that neither of the methods is superior but that each of them is suitable for use in distinct application scenarios because of its different properties.}, subject = {Architektur}, 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{LeNguyenXuanAskesetal., author = {Le, C.V. and Nguyen-Xuan, Hung and Askes, H. and Rabczuk, Timon and Nguyen-Thoi, T.}, title = {Computation of limit load using edge-based smoothed finite element method and second-order cone programming}, series = {International Journal of Computational Methods}, journal = {International Journal of Computational Methods}, abstract = {Computation of limit load using edge-based smoothed finite element method and second-order cone programming}, subject = {Angewandte Mathematik}, language = {en} } @article{MarzbanLahmer, author = {Marzban, Samira and Lahmer, Tom}, title = {Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects}, series = {Journal of Statistical Theory and Practice}, journal = {Journal of Statistical Theory and Practice}, pages = {589 -- 611}, abstract = {Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects}, subject = {Angewandte Mathematik}, language = {en} } @article{TalebiSilaniRabczuk, author = {Talebi, Hossein and Silani, Mohammad and Rabczuk, Timon}, title = {Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation}, series = {Advances in Engineering Software}, journal = {Advances in Engineering Software}, pages = {82 -- 92}, abstract = {Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation}, subject = {Angewandte Mathematik}, language = {en} } @article{ZhaoLuZhangetal., author = {Zhao, Jun-Hua and Lu, Lixin and Zhang, Zhiliang and Guo, Wanlin and Rabczuk, Timon}, title = {Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates}, series = {Computational Materials Science}, journal = {Computational Materials Science}, pages = {432 -- 438}, abstract = {Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates}, subject = {Angewandte Mathematik}, language = {en} } @article{HiguchiMacke, author = {Higuchi, Shoko and Macke, M.}, title = {Cost-benefit analysis for the optimal rehabilitation of deteriorating structures}, series = {Structural Safety}, journal = {Structural Safety}, pages = {291 -- 306}, abstract = {Cost-benefit analysis for the optimal rehabilitation of deteriorating structures}, subject = {Angewandte Mathematik}, language = {en} } @article{HiguchiMacke, author = {Higuchi, Shoko and Macke, M.}, title = {Cost-benefit based optimization of maintenance interventions for deteriorating structures}, series = {Structural Engineering/Earthquake Engineering}, journal = {Structural Engineering/Earthquake Engineering}, pages = {131 -- 147}, abstract = {Cost-benefit based optimization of maintenance interventions for deteriorating structures}, subject = {Angewandte Mathematik}, language = {en} } @article{HiguchiMacke, author = {Higuchi, Shoko and Macke, M.}, title = {Cost-benefit based optimization of maintenance interventions for deteriorating structures}, series = {Doboku Gakkai Ronbunshuu A}, journal = {Doboku Gakkai Ronbunshuu A}, pages = {727 -- 743}, abstract = {Cost-benefit based optimization of maintenance interventions for deteriorating structures}, subject = {Angewandte Mathematik}, language = {en} }