NUMERICAL SIMULATION OF DISCONTINUOUS SOLUTIONS IN NONLINEAR ELASTICITY THEORY

被引：2

作者：

Peshkov, I. M. ^{[1
]}

机构：

[1] Russian Acad Sci, Siberian Div, Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2009年 / 50卷 / 05期

关键词：

nonlinear elasticity theory; discontinuous solution; numerical solution; Godunov diagram;

D O I：

10.1007/s10808-009-0116-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A mathematical model of a nonlinear elastic medium is considered. Discontinuous solutions of the model are studied numerically for the one-dimensional case.

引用

页码：858 / 865

页数：8

共 50 条

[1] Numerical simulation of discontinuous solutions in nonlinear elasticity theory
I. M. Peshkov
Journal of Applied Mechanics and Technical Physics, 2009, 50 : 858 - 865
[2] Nonlinear elasticity theory with discontinuous internal variables
Lazopoulos, KA
Ogden, RW
MATHEMATICS AND MECHANICS OF SOLIDS, 1998, 3 (01) : 29 - 51
[3] Nonlinear elasticity theory with discontinuous internal variables
Natl Technical Univ of Athens, Athens, Greece
Math Mech Solids, 1 (29-51):
[4] Neurocomputing theory and numerical simulation on elasticity
Sun, DH
Sun, XF
Hi, Q
Xu, H
ACTA MECHANICA SOLIDA SINICA, 1999, 12 (03) : 269 - 278
[5] NEUROCOMPUTING THEORY AND NUMERICAL SIMULATION ON ELASTICITY
Sun Daoheng (Dept.of Electromechanical Engineering
Acta Mechanica Solida Sinica, 1999, 12 (03) : 269 - 278
[6] CONSTRUCTION OF DISCONTINUOUS SOLUTIONS IN 3-DIMENSIONAL ELASTICITY THEORY
MORAR, GA
POPOV, GY
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1990, 54 (05): : 656 - 662
[7] THE CONJUGATED SOLUTIONS IN THE NONLINEAR-THEORY OF ELASTICITY
ZUBOV, LM
DOKLADY AKADEMII NAUK, 1992, 324 (02) : 282 - 286
[8] On the nonuniqueness of solutions to the nonlinear equations of elasticity theory
Kulikovskii, A. G.
Chugainova, A. P.
Sveshnikova, E. I.
JOURNAL OF ENGINEERING MATHEMATICS, 2006, 55 (1-4) : 97 - 110
[9] On the Nonuniqueness of Solutions to the Nonlinear Equations of Elasticity Theory
A. G. Kulikovskii
A. P. Chugainova
E. I. Sveshnikova
Journal of Engineering Mathematics, 2006, 55 : 97 - 110
[10] NUMERICAL DETERMINATION OF DISCONTINUOUS SOLUTIONS FOR THE SYSTEM OF NONLINEAR PARABOLIC EQUATIONS
LYASHKO, II
DEINEKA, VS
STASYUK, VR
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1990, (03): : 17 - 20

← 1 2 3 4 5 →