@article{Stratmann, author = {Stratmann, Bernhard}, title = {Wissenschaft, Forschung und Forschungsprozess - Eine Einf{\"u}hrung}, doi = {10.25643/bauhaus-universitaet.1849}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20130212-18498}, pages = {1 -- 33}, abstract = {Der Artikel behandelt f{\"u}nf f{\"u}r das wissenschaftliche Arbeiten besonders relevante Themenfelder: 1) Ziele und Gegenstand wissenschaftlichen Arbeitens, 2) der Zusammenhang von Wissenschaft, Erkenntnis und Fortschritt, 3) eine Darstellung der Forschungslandschaft in Deutschland unter Ber{\"u}cksichtigung der Wissenschaftsorganisation, 4) eine ausf{\"u}hrliche, praxisorientierte Erl{\"a}uterung des typischen Ablaufs eines Forschungsprozesses, 5) eine Skizze zur literaturbasierten Forschung. Der Beitrag stellte zahlreiche Bez{\"u}ge zur Stadtforschung her und nutzt Beispiele zur Illustration der Inhalte.}, subject = {Forschungsprozess}, language = {de} } @article{JiangWangRabczuk, author = {Jiang, Jin-Wu and Wang, Bing-Shen and Rabczuk, Timon}, title = {Why twisting angles are diverse in graphene Moir'e patterns?}, series = {Journal of Applied Physics}, journal = {Journal of Applied Physics}, abstract = {Why twisting angles are diverse in graphene Moir'e patterns?}, subject = {Angewandte Mathematik}, language = {en} } @article{LorekWagner, author = {Lorek, Andreas and Wagner, Norbert}, title = {Supercooled interfacial water in fine-grained soils probed by dielectric spectroscopy}, series = {Cryosphere}, journal = {Cryosphere}, doi = {10.25643/bauhaus-universitaet.3149}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170425-31490}, pages = {1839 -- 1855}, abstract = {Water substantially affects nearly all physical, chemical and biological processes on the Earth. Recent Mars observations as well as laboratory investigations suggest that water is a key factor of current physical and chemical processes on the Martian surface, e.g. rheological phenomena. Therefore it is of particular interest to get information about the liquid-like state of water on Martian analogue soils for temperatures below 0 °C. To this end, a parallel plate capacitor has been developed to obtain isothermal dielectric spectra of fine-grained soils in the frequency range from 10 Hz to 1.1 MHz at Martian-like temperatures down to -70 °C. Two Martian analogue soils have been investigated: a Ca-bentonite (specific surface of 237 m2 g-1, up to 9.4\% w / w gravimetric water content) and JSC Mars 1, a volcanic ash (specific surface of 146 m2 g-1, up to 7.4\% w / w). Three soil-specific relaxation processes are observed in the investigated frequency-temperature range: two weak high-frequency processes (bound or hydrated water as well as ice) and a strong low-frequency process due to counter-ion relaxation and the Maxwell-Wagner effect. To characterize the dielectric relaxation behaviour, a generalized fractional dielectric relaxation model was applied assuming three active relaxation processes with relaxation time of the ith process modelled with an Eyring equation. The real part of effective complex soil permittivity at 350 kHz was used to determine ice and liquid-like water content by means of the Birchak or CRIM equation. There are evidence that bentonite down to -70 °C has a liquid-like water content of 1.17 monolayers and JSC Mars 1 a liquid-like water content of 1.96 monolayers.}, subject = {Wasser}, language = {en} } @article{LorekWagner, author = {Lorek, Andreas and Wagner, Norman}, title = {Supercooled interfacial water in fine grained soils probed by dielectric spectroscopy}, series = {Cryosphere}, journal = {Cryosphere}, doi = {10.5194/tc-7-1839-2013}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170516-31840}, pages = {1839 -- 1855}, abstract = {Water substantially affects nearly all physical, chemical and biological processes on the Earth. Recent Mars observations as well as laboratory investigations suggest that water is a key factor of current physical and chemical processes on the Martian surface, e.g. rheological phenomena. Therefore it is of particular interest to get information about the liquid-like state of water on Martian analogue soils for temperatures below 0 °C. To this end, a parallel plate capacitor has been developed to obtain isothermal dielectric spectra of fine-grained soils in the frequency range from 10 Hz to 1.1 MHz at Martian-like temperatures down to -70 °C. Two Martian analogue soils have been investigated: a Ca-bentonite (specific surface of 237 m2 g-1, up to 9.4\% w / w gravimetric water content) and JSC Mars 1, a volcanic ash (specific surface of 146 m2 g-1, up to 7.4\% w / w). Three soil-specific relaxation processes are observed in the investigated frequency-temperature range: two weak high-frequency processes (bound or hydrated water as well as ice) and a strong low-frequency process due to counter-ion relaxation and the Maxwell-Wagner effect. To characterize the dielectric relaxation behaviour, a generalized fractional dielectric relaxation model was applied assuming three active relaxation processes with relaxation time of the ith process modelled with an Eyring equation. The real part of effective complex soil permittivity at 350 kHz was used to determine ice and liquid-like water content by means of the Birchak or CRIM equation. There are evidence that bentonite down to -70 °C has a liquid-like water content of 1.17 monolayers and JSC Mars 1 a liquid-like water content of 1.96 monolayers.}, subject = {Grundwasser}, language = {en} } @article{KerfridenSchmidtRabczuketal., author = {Kerfriden, Pierre and Schmidt, K.M. and Rabczuk, Timon and Bordas, St{\´e}phane Pierre Alain}, title = {Statistical extraction of process zones and representative subspaces in fracture of random composites}, series = {International Journal for Multiscale Computational Engineering}, journal = {International Journal for Multiscale Computational Engineering}, abstract = {Statistical extraction of process zones and representative subspaces in fracture of random composites}, subject = {Angewandte Mathematik}, language = {en} } @article{JiangZhaoRabczuk, author = {Jiang, Jin-Wu and Zhao, Jun-Hua and Rabczuk, Timon}, title = {Size-Sensitive Young's Modulus of Kinked Silicon Nanowires}, series = {Nanotechnology}, journal = {Nanotechnology}, doi = {10.1088/0957-4484/24/18/185702}, abstract = {We perform both classical molecular dynamics simulations and beam model calculations to investigate the Young's modulus of kinked silicon nanowires (KSiNWs). The Young's modulus is found to be highly sensitive to the arm length of the kink and is essentially inversely proportional to the arm length. The mechanism underlying the size dependence is found to be the interplay between the kink angle potential and the arm length potential, where we obtain an analytic relationship between the Young's modulus and the arm length of the KSiNW. Our results provide insight into the application of this novel building block in nanomechanical devices.}, subject = {Angewandte Mathematik}, language = {en} } @article{ZhangWeiZhaoetal., author = {Zhang, Yancheng and Wei, Ning and Zhao, Jun-Hua and Gong, Yadong and Rabczuk, Timon}, title = {Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles}, series = {Journal of Applied Physics}, journal = {Journal of Applied Physics}, abstract = {Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles}, subject = {Angewandte Mathematik}, language = {en} } @article{BanihaniRabczukAlmomani, author = {Banihani, Suleiman and Rabczuk, Timon and Almomani, Thakir}, title = {POD for real-time simulation of hyperelastic soft biological tissue using the point collocation method of finite spheres}, series = {Mathematical Problems in Engineering}, journal = {Mathematical Problems in Engineering}, doi = {10.1155/2013/386501}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170413-31203}, abstract = {The point collocation method of finite spheres (PCMFS) is used to model the hyperelastic response of soft biological tissue in real time within the framework of virtual surgery simulation. The proper orthogonal decomposition (POD) model order reduction (MOR) technique was used to achieve reduced-order model of the problem, minimizing computational cost. The PCMFS is a physics-based meshfree numerical technique for real-time simulation of surgical procedures where the approximation functions are applied directly on the strong form of the boundary value problem without the need for integration, increasing computational efficiency. Since computational speed has a significant role in simulation of surgical procedures, the proposed technique was able to model realistic nonlinear behavior of organs in real time. Numerical results are shown to demonstrate the effectiveness of the new methodology through a comparison between full and reduced analyses for several nonlinear problems. It is shown that the proposed technique was able to achieve good agreement with the full model; moreover, the computational and data storage costs were significantly reduced.}, subject = {Chirurgie}, language = {en} } @article{JiangZhuangRabczuk, author = {Jiang, Jin-Wu and Zhuang, Xiaoying and Rabczuk, Timon}, title = {Orientation dependent thermal conductance in single-layer MoS 2}, series = {Scientific Reports}, journal = {Scientific Reports}, doi = {10.1038/srep02209}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170418-31417}, abstract = {We investigate the thermal conductivity in the armchair and zigzag MoS2 nanoribbons, by combining the non-equilibrium Green's function approach and the first-principles method. A strong orientation dependence is observed in the thermal conductivity. Particularly, the thermal conductivity for the armchair MoS2 nanoribbon is about 673.6 Wm-1 K-1 in the armchair nanoribbon, and 841.1 Wm-1 K-1 in the zigzag nanoribbon at room temperature. By calculating the Caroli transmission, we disclose the underlying mechanism for this strong orientation dependence to be the fewer phonon transport channels in the armchair MoS2 nanoribbon in the frequency range of [150, 200] cm-1. Through the scaling of the phonon dispersion, we further illustrate that the thermal conductivity calculated for the MoS2 nanoribbon is esentially in consistent with the superior thermal conductivity found for graphene.}, subject = {Mechanische Eigenschaft}, language = {en} } @article{BakarKramerBordasetal., author = {Bakar, I. and Kramer, O. and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon}, title = {Optimization of Elastic Properties and Weaving Patterns of Woven Composites}, series = {Composite Structures}, journal = {Composite Structures}, pages = {575 -- 591}, abstract = {Optimization of Elastic Properties and Weaving Patterns of Woven Composites}, subject = {Angewandte Mathematik}, language = {en} }