On classical solutions of the Prandtl-Reuss equations of perfect elastoplasticity

被引：4

作者：

Kuksin, SB ^{[1
]}

机构：

[1] RUSSIAN ACAD SCI,INST INFORMAT TRANSMISS PROBLEMS,MOSCOW 101447,RUSSIA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1996年 / 126卷

关键词：

D O I：

10.1017/S0308210500023416

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the elasticity domain for an antiplane deformation of a perfect elastoplastic medium, which is described by the Prandtl-Reuss equations. We prove that a boundary of this domain can be found by solving a system of nonlinear functional equations. In the simplest case of simple shear deformations, this system of equations is studied in detail.

引用

页码：1297 / 1308

页数：12

共 50 条

[1] Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations
Kulikovskii, A. G.
Chugainova, A. P.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (04) : 637 - 649
[2] Study of discontinuities in solutions of the Prandtl–Reuss elastoplasticity equations
A. G. Kulikovskii
A. P. Chugainova
Computational Mathematics and Mathematical Physics, 2016, 56 : 637 - 649
[3] The Prandtl-Reuss equations revisited
Bruhns, Otto T.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2014, 94 (03): : 187 - 202
[4] SIMPLE WAVES IN PRANDTL-REUSS EQUATIONS
BALASHOV, DB
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1992, 56 (01): : 107 - 116
[5] ON THE REPRESENTATION OF PRANDTL-REUSS TENSORS WITHIN THE FRAMEWORK OF MULTIPLICATIVE ELASTOPLASTICITY
MIEHE, C
INTERNATIONAL JOURNAL OF PLASTICITY, 1994, 10 (06) : 609 - 621
[6] Regularity of stresses in Prandtl-Reuss perfect plasticity
Demyanov, A.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2009, 34 (01) : 23 - 72
[7] Regularity of stresses in Prandtl-Reuss perfect plasticity
A. Demyanov
Calculus of Variations and Partial Differential Equations, 2009, 34 : 23 - 72
[8] Simple waves in Prandtl-Reuss equations
Balashov, D.B.
Journal of Applied Mathematics and Mechanics, 1992, 56 (01) : 107 - 116
[9] Prandtl-Reuss elastoplasticity: On-off switch and superposition formulae
Hong, HK
Liu, CS
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1997, 34 (33-34) : 4281 - 4304
[10] Homogenization of the nonlinear Maxwell model of viscoelasticity and of the Prandtl-Reuss model of elastoplasticity
Visintin, Augusto
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2008, 138 : 1363 - 1401

← 1 2 3 4 5 →