Large deformation symmetrical elasticity problems solved by the variational method

Zhao Yu-xiang; Gu Xiang-zhen; Song Xi-tai

doi:10.1007/bf02453324

Large deformation symmetrical elasticity problems solved by the variational method

Applied Mathematics and Mechanics ◽

10.1007/bf02453324 ◽

1993 ◽

Vol 14 (8) ◽

pp. 713-720

Author(s):

Zhao Yu-xiang ◽

Gu Xiang-zhen ◽

Song Xi-tai

Keyword(s):

Variational Method ◽

Large Deformation ◽

Elasticity Problems

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Variational Method of Homogeneous Solutions in Axisymmetric Elasticity Problems for a Semiinfinite Cylinder

Journal of Mathematical Sciences ◽

10.1007/s10958-014-1982-0 ◽

2014 ◽

Vol 201 (2) ◽

pp. 175-189 ◽

Cited By ~ 2

Author(s):

V. F. Chekurin ◽

L. I. Postolaki

Keyword(s):

Variational Method ◽

Homogeneous Solutions ◽

Elasticity Problems ◽

Axisymmetric Elasticity

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Large Deformation of Electromagnetic Solids by Variational Method

2006 12th Biennial IEEE Conference on Electromagnetic Field Computation ◽

10.1109/cefc-06.2006.1633232 ◽

2006 ◽

Author(s):

Z. Badics ◽

Z.J. Cendes

Keyword(s):

Variational Method ◽

Large Deformation ◽

Electromagnetic Solids

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Axially symmetric elasticity problems for the hollow cylinder with the stress-free ends. Analytical solving via a variational method of homogeneous solutions

Mathematical Modeling and Computing ◽

10.23939/mmc2020.01.048 ◽

2020 ◽

Vol 7 (1) ◽

pp. 48-63

Author(s):

V. F. Chekurin ◽

◽

L. I. Postolaki ◽

◽

Keyword(s):

Variational Method ◽

Hollow Cylinder ◽

Axially Symmetric ◽

Homogeneous Solutions ◽

Elasticity Problems

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Comparison of the performance of some finite element discretizations for large deformation elasticity problems

Computers & Structures ◽

10.1016/j.compstruc.2010.02.007 ◽

2010 ◽

Vol 88 (11-12) ◽

pp. 664-673 ◽

Cited By ~ 23

Author(s):

É. Chamberland ◽

A. Fortin ◽

M. Fortin

Keyword(s):

Finite Element ◽

Large Deformation ◽

Finite Element Discretizations ◽

Elasticity Problems ◽

Element Discretizations

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An updated Lagrangian method with error estimation and adaptive remeshing for very large deformation elasticity problems: The three-dimensional case

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.05.036 ◽

2016 ◽

Vol 309 ◽

pp. 1-18 ◽

Cited By ~ 3

Author(s):

S. Léger ◽

A. Pepin

Keyword(s):

Large Deformation ◽

Error Estimation ◽

Three Dimensional ◽

Lagrangian Method ◽

Dimensional Case ◽

Adaptive Remeshing ◽

Elasticity Problems ◽

Updated Lagrangian

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Large deformation analysis of 2D hyperelastic bodies based on the compressible nonlinear elasticity: A numerical variational method

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2019.05.003 ◽

2019 ◽

Vol 116 ◽

pp. 39-54 ◽

Cited By ~ 4

Author(s):

R. Hassani ◽

R. Ansari ◽

H. Rouhi

Keyword(s):

Variational Method ◽

Large Deformation ◽

Nonlinear Elasticity ◽

Deformation Analysis ◽

Large Deformation Analysis

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An updated Lagrangian method with error estimation and adaptive remeshing for very large deformation elasticity problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4786 ◽

2014 ◽

Vol 100 (13) ◽

pp. 1006-1030 ◽

Cited By ~ 7

Author(s):

S. Léger ◽

A. Fortin ◽

C. Tibirna ◽

M. Fortin

Keyword(s):

Large Deformation ◽

Error Estimation ◽

Lagrangian Method ◽

Adaptive Remeshing ◽

Elasticity Problems ◽

Updated Lagrangian

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A variational method of homogeneous solutions for axisymmetric elasticity problems for cylinder

Mathematical Modeling and Computing ◽

10.23939/mmc2015.02.128 ◽

2015 ◽

Vol 2 (2) ◽

pp. 128-139 ◽

Cited By ~ 5

Author(s):

V. Chekurin ◽

◽

L. Postolaki ◽

◽

Keyword(s):

Variational Method ◽

Homogeneous Solutions ◽

Elasticity Problems ◽

Axisymmetric Elasticity

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AN INTEGRO-DIFFERENTIAL FORMULATION AND A VARIATIONAL METHOD OF SOLVING LINEAR ELASTICITY PROBLEMS

Problems of Strength and Plasticity ◽

10.32326/1814-9146-2005-67-1-190-198 ◽

2005 ◽

Vol 67 (1) ◽

pp. 190-198

Author(s):

G.V. Kostin ◽

V.V. Saurin

Keyword(s):

Variational Method ◽

Linear Elasticity ◽

Differential Formulation ◽

Elasticity Problems

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A stability study of some mixed finite elements for large deformation elasticity problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.06.014 ◽

2005 ◽

Vol 194 (9-11) ◽

pp. 1075-1092 ◽

Cited By ~ 35

Author(s):

F. Auricchio ◽

L. Beirão da Veiga ◽

C. Lovadina ◽

A. Reali

Keyword(s):

Finite Elements ◽

Large Deformation ◽

Mixed Finite Elements ◽

Stability Study ◽

Elasticity Problems

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