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Author:E. Artioli , L. Beirão da Veiga , C. Lovadina ...
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.60 (4), pp.643-657Springer
Abstract:The present paper is the second part of a twofold work, whose first part is reported in Artioli et al. (Comput Mech, 2017 . doi: 10.1007/s00466-017-1404-5 ), concerning a newly developed Virtual element method (VEM) for 2D continuum problems. The first part of the work proposed a...
Author:J. P. Whiteley
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.60 (4), pp.683-692Springer
Abstract:Large, incompressible elastic deformations are governed by a system of nonlinear partial differential equations. The finite element discretisation of these partial differential equations yields a system of nonlinear algebraic equations that are usually solved using Newton’s ...
Author:Peter Hansbo , Mats G. Larson
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.60 (4), pp.693-702Springer
Abstract:We employ surface differential calculus to derive models for Kirchhoff plates including in-plane membrane deformations. We also extend our formulation to structures of plates. For solving the resulting set of partial differential equations, we employ a finite element method based...
Author:Xuechuan Wang , Satya N. Atluri
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.59 (5), pp.861-876Springer
Abstract:A new class of time-integrators is presented for strongly nonlinear dynamical systems. These algorithms are far superior to the currently common time integrators in computational efficiency and accuracy. These three algorithms are based on a local variational iteration metho...
Author:Simeon Hubrich , Paolo Di Stolfo , László Kudela ...
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.60 (5), pp.863-881Springer
Abstract:A fast and simple grid generation can be achieved by non-standard discretization methods where the mesh does not conform to the boundary or the internal interfaces of the problem. However, this simplification leads to discontinuous integrands for intersected elements and, therefo...
Author:Christian Steinke , Imadeddin Zreid , Michael Kaliske
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.59 (5), pp.717-735Springer
Abstract:The finite element implementation of a gradient enhanced microplane damage model is compared to a phase-field model for brittle fracture. Phase-field models and implicit gradient damage models share many similarities despite being conceived from very different standpoints. In bot...
Author:Baiyili Liu , Shaoqiang Tang , Jun Chen
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.59 (5), pp.843-859Springer
Abstract:In this paper, we propose a heat jet approach for atomic simulations at finite temperature of a triangular lattice. First we design a matching boundary condition by carefully examining a residual function based on the lattice dispersion relation. It leads to a two-way boundary co...
Author:Dominic Soldner , Benjamin Brands , Reza Zabihyan ...
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.60 (4), pp.613-625Springer
Abstract:Computing the macroscopic material response of a continuum body commonly involves the formulation of a phenomenological constitutive model. However, the response is mainly influenced by the heterogeneous microstructure. Computational homogenisation can be used to determine the co...
Author:Sahir N. Butt , Jithender J. Timothy , Günther Meschke
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.60 (5), pp.725-738Springer
Abstract:Peridynamics is a nonlocal continuum model which offers benefits over classical continuum models in cases, where discontinuities, such as cracks, are present in the deformation field. However, the nonlocal characteristics of peridynamics leads to a dispersive dynamic response of ...
Author:Przemysław Litewka , Roman Lewandowski
Data Source:[J].Computational Mechanics(IF 2.432), 2017, Vol.60 (2), pp.333-354Springer
Abstract:The paper is devoted to non-linear vibrations of plates, made of the Zener viscoelastic material modelled with the Caputo fractional derivative, and in particular to their response to harmonic excitation. The plate geometric non-linearity is of the von Kármán type. In the fo...

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