Fracture Analysis Under Large-Scale Plastic Yielding: A Finite Deformation, Embedded Singularity, Elastoplastic Incremental Finite-Element Solution

2009 ◽  
pp. 42-42-20 ◽  
Author(s):  
SN Atluri ◽  
M Nakagaki ◽  
W-H Chen
Keyword(s):  
Finite Element ◽  
Finite Deformation ◽  
Large Scale ◽  
Fracture Analysis ◽  
Finite Element Solution ◽  
Element Solution ◽  
Plastic Yielding

A generalised Jacobi preconditioner for finite element solution of large-scale consolidation problems

2003 ◽  
pp. 573-577 ◽  
Author(s):  
K.K. Phoon ◽  
K.C. Toh ◽  
S.H. Chan ◽  
F.H. Lee
Keyword(s):  
Finite Element ◽  
Large Scale ◽  
Finite Element Solution ◽  
Element Solution

A New Moving Mesh Algorithm for the Finite Element Solution of Variational Problems

1998 ◽  
Vol 35 (4) ◽  
pp. 1416-1438 ◽  
Author(s):  
Yves Tourigny ◽  
Frank Hülsemann
Keyword(s):  
Finite Element ◽  
Variational Problems ◽  
Finite Element Solution ◽  
Moving Mesh ◽  
Element Solution

A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes

2021 ◽  
Vol 431 ◽  
pp. 110142
Author(s):  
Lei Yang ◽  
Jingrun Chen ◽  
Guanghui Hu
Keyword(s):  
Finite Element ◽  
Finite Element Solution ◽  
Element Solution ◽  
Tetrahedral Meshes

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

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