TY - JOUR A1 - Vu-Bac, N. A1 - Lahmer, Tom A1 - Keitel, Holger A1 - Zhao, Jun-Hua A1 - Zhuang, Xiaoying A1 - Rabczuk, Timon T1 - Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations JF - Mechanics of Materials N2 - Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2014 SP - 70 EP - 84 ER - TY - JOUR A1 - Kerfriden, Pierre A1 - Schmidt, K.M. A1 - Rabczuk, Timon A1 - Bordas, Stéphane Pierre Alain T1 - Statistical extraction of process zones and representative subspaces in fracture of random composites JF - International Journal for Multiscale Computational Engineering N2 - Statistical extraction of process zones and representative subspaces in fracture of random composites KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2013 ER - TY - JOUR A1 - Thai, Chien H. A1 - Nguyen-Xuan, Hung A1 - Nguyen-Thanh, Nhon A1 - Le, T.H. A1 - Nguyen-Thoi, T. A1 - Rabczuk, Timon T1 - Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach JF - International Journal for Numerical Methods in Engineering N2 - 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. KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2012 U6 - http://dx.doi.org/10.1002/nme.4282 SP - 571 EP - 603 ER - TY - JOUR A1 - Jiang, Jin-Wu A1 - Zhao, Jun-Hua A1 - Rabczuk, Timon T1 - Size-Sensitive Young’s Modulus of Kinked Silicon Nanowires JF - Nanotechnology N2 - 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. KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2013 U6 - http://dx.doi.org/10.1088/0957-4484/24/18/185702 ER - TY - JOUR A1 - Natarajan, S. A1 - Chakraborty, S. A1 - Thangavel, M. A1 - Bordas, Stéphane Pierre Alain A1 - Rabczuk, Timon T1 - Size dependent free flexural vibration behavior of functionally graded nanoplates JF - Computational Materials Science N2 - Size dependent free flexural vibration behavior of functionally graded nanoplates KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2012 SP - 74 EP - 80 ER - TY - JOUR A1 - Ghasemi, Hamid A1 - Brighenti, Roberto A1 - Zhuang, Xiaoying A1 - Muthu, Jacob A1 - Rabczuk, Timon T1 - Sequential reliability based optimization of fiber content and dispersion in fiber reinforced composite by using NURBS finite elements JF - Structural and Multidisciplinary Optimization N2 - Sequential reliability based optimization of fiber content and dispersion in fiber reinforced composite by using NURBS finite elements KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 ER - TY - JOUR A1 - Nasser, Mourad A1 - Schwedler, Michael A1 - Wuttke, Frank A1 - Könke, Carsten T1 - Seismic analysis of structural response using simplified soil-structure interaction models JF - Bauingenieur, D-A-CH-Mitteilungsblatt N2 - Seismic analysis of structural response using simplified soil-structure interaction models KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2010 ER - TY - JOUR A1 - Nguyen-Thanh, Nhon A1 - Kiendl, J. A1 - Nguyen-Xuan, Hung A1 - Wüchner, R. A1 - Bletzinger, Kai-Uwe A1 - Bazilevs, Yuri A1 - Rabczuk, Timon T1 - Rotation free isogeometric thin shell analysis using PHT-splines JF - Computer Methods in Applied Mechanics and Engineering N2 - Rotation free isogeometric thin shell analysis using PHT-splines KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2011 SP - 3410 EP - 3424 ER - TY - JOUR A1 - Thumser, Rayk A1 - Bergmann, Joachim W. A1 - Vormwald, Michael T1 - Residual stress fields and fatigue analysis of autofrettaged parts JF - International Journal of Pressure Vessels and Piping N2 - Residual stress fields and fatigue analysis of autofrettaged parts KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2002 SP - 113 EP - 117 ER - TY - JOUR A1 - Beex, L.A.A. A1 - Kerfriden, Pierre A1 - Rabczuk, Timon A1 - Bordas, Stéphane Pierre Alain T1 - Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation JF - Computer Methods in Applied Mechanics and Engineering N2 - Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 ER - TY - JOUR A1 - Zhang, Yancheng A1 - Wei, Ning A1 - Zhao, Jun-Hua A1 - Gong, Yadong A1 - Rabczuk, Timon T1 - Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles JF - Journal of Applied Physics N2 - Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2013 ER - TY - JOUR A1 - Most, Thomas A1 - Bucher, Christian T1 - Probabilistic analysis of concrete cracking using neural networks and random fields JF - Probabilistic Engineering Mechanics N2 - Probabilistic analysis of concrete cracking using neural networks and random fields KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2007 SP - 219 EP - 229 ER - TY - JOUR A1 - Hamdia, Khader A1 - Lahmer, Tom A1 - Nguyen-Thoi, T. A1 - Rabczuk, Timon T1 - Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS JF - Computational Materials Science N2 - Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2015 SP - 304 EP - 313 ER - TY - JOUR A1 - Luther, Torsten A1 - Könke, Carsten T1 - Polycrystal models for the analysis of intergranular crack growth in metallic materials JF - Engineering Fracture Mechanics N2 - Polycrystal models for the analysis of intergranular crack growth in metallic materials KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2009 SP - 2332 EP - 2343 ER - TY - JOUR A1 - Jiang, Jin-Wu A1 - Wang, Bing-Shen A1 - Rabczuk, Timon T1 - Phonon modes in single-walled molybdenum disulphide nanotubes: lattice dynamics calculation and molecular dynamics simulation JF - Nanotechnology N2 - Phonon modes in single-walled molybdenum disulphide nanotubes: lattice dynamics calculation and molecular dynamics simulation KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 ER - TY - JOUR A1 - Amiri, Fatemeh A1 - Millán, D. A1 - Shen, Y. A1 - Rabczuk, Timon A1 - Arroyo, M. T1 - Phase-field modeling of fracture in linear thin shells JF - Theoretical and Applied Fracture Mechanics N2 - Phase-field modeling of fracture in linear thin shells KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 SP - 102 EP - 109 ER - TY - JOUR A1 - Jamshidian, M. A1 - Rabczuk, Timon T1 - Phase field modelling of stressed grain growth: Analytical study and the effect of microstructural length scale JF - Journal of Computational Physics N2 - Phase field modelling of stressed grain growth: Analytical study and the effect of microstructural length scale KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 SP - 23 EP - 35 ER - TY - JOUR A1 - Chau-Dinh, T. A1 - Zi, Goangseup A1 - Lee, P.S. A1 - Song, Jeong-Hoon A1 - Rabczuk, Timon T1 - Phantom-node method for shell models with arbitrary cracks JF - Computers & Structures N2 - 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. KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2012 U6 - http://dx.doi.org/10.1016/j.compstruc.2011.10.021 ER - TY - JOUR A1 - Kaltenbacher, Barbara A1 - Lahmer, Tom A1 - Mohr, Marcus A1 - Kaltenbacher, Manfred T1 - PDE based determination of piezoelectric material tensors JF - European Journal of Applied Mathematics N2 - PDE based determination of piezoelectric material tensors. KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2006 U6 - http://dx.doi.org/10.25643/bauhaus-universitaet.3595 SP - 383 EP - 416 ER - TY - JOUR A1 - Ghasemi, Hamid A1 - Brighenti, Roberto A1 - Zhuang, Xiaoying A1 - Muthu, Jacob A1 - Rabczuk, Timon T1 - Optimum fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach JF - Structural and Multidisciplinary Optimization N2 - Optimum _ber content and distribution in _ber-reinforced solids using a reliability and NURBS based sequential optimization approach KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2015 SP - 99 EP - 112 ER -