Results 11 to 20 of about 97,675,816 (255)

Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov

International Journal for Numerical Methods in Engineering
The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation.
Andry Monlon, A. Scolaro, P. Cardiff, I. Clifford, O. Pakari, M. Hursin   +5 more
semanticscholar   +2 more sources

Investigation of critical load of structures using modified energy method in nonlinear-geometry solid mechanics problems

Nonlinear Engineering, 2022
Geometrically nonlinear analysis is required for resolving issues such as loading causes failure and structure buckling analysis. Although numerical methods are recommended for estimating the exact solution, they lack the necessary convergence in the ...
Ahmad Razaghi, J. A. Marnani, M. S. Rohanimanesh   +2 more
semanticscholar   +1 more source

Analytical Comparison of Two Multiscale Coupling Methods for Nonlinear Solid Mechanics

Journal of applied mechanics, 2020
The aim of this work is to compare two existing multilevel computational approaches coming from two different families of multiscale methods in a nonlinear solid mechanics framework.
Daria Koliesnikova, I. Ramière, F. Lebon   +2 more
semanticscholar   +1 more source

High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling [PDF]

, 2014
Copyright @ 2014 The Authors. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.We revisit a method ...
Mark P Brewin, Shuhua Hu, Simon Shaw, Carola Kruse, Birch, MJ, Zackary R Kenz, Kruse, C, Brewin, MP, John R Whiteman, Maischak, M, Banks, HT, Malcolm J Birch, H. T. Banks, Stephen E Greenwald, Greenwald, SE, Kenz, ZR, Matthias Maischak, Whiteman, JR, Hu, S, Shaw, S   +19 more
core   +1 more source

Variational Methods for Nonsmooth Mechanics [PDF]

, 2003
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
core   +1 more source

A comparative study of immersed-boundary interpolation methods for a flow around a stationary cylinder at low Reynolds number [PDF]

, 2013
The accuracy and computational efficiency of various interpolation methods for the implementation of non grid-confirming boundaries is assessed. The aim of the research is to select an interpolation method that is both efficient and sufficiently accurate
Wissink, J, Bahai, H, Madani, SH
core   +2 more sources

A novel multi-dimensional Eulerian approach to computational solid dynamics [PDF]

, 2009
Many problems in solid dynamics involve moving boundaries, finite elastoplastic deformations, and strong non-linear waves. Continuum modelling of such events is difficult on account of these characteristics, and there exist a number of inadequacies in
Barton, Philip Trevor
core   +2 more sources

A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics

Archives of Computational Methods in Engineering, 2020
In this contribution we provide benchmark problems in the field of computational solid mechanics. In detail, we address classical fields as elasticity, incompressibility, material interfaces, thin structures and plasticity at finite deformations.
J. Schröder, T. Wick, S. Reese, P. Wriggers, R. Müller, S. Kollmannsberger, M. Kästner, A. Schwarz, Maximilian Igelbüscher, Nils Viebahn, H. Bayat, S. Wulfinghoff, K. Mang, E. Rank, Tino Bog, Davide D’Angella, M. Elhaddad, P. Hennig, A. Düster, Wadhah Garhuom, Simeon Hubrich, Mirjam Walloth, W. Wollner, C. Kuhn, T. Heister   +24 more
semanticscholar   +1 more source

Advanced Numerical Methods in Computational Solid Mechanics

, 2023
Efficient numerical solving of nonlinear solid mechanics problems is still a challenging issue which concerns various fields: nonlinear behavior, micromechanics, contact mechanics, damage, crack propagation, rupture, etc [...
Frédéric Lebon, Lebon, Frédéric, Ramiere, Isabelle, Isabelle Ramière   +3 more
core   +1 more source

Finite-PINN: A physics-informed neural network with finite geometric encoding for solid mechanics [PDF]

Journal of the mechanics and physics of solids
PINN models have demonstrated capabilities in addressing fluid PDE problems, and their potential in solid mechanics is beginning to emerge. This study identifies two key challenges when using PINN to solve general solid mechanics problems.
Haolin Li, Yuyang Miao, Z. Khodaei, M. H. Aliabadi   +3 more
semanticscholar   +1 more source