Solution of a Mixed Boundary Value Problem of Nonlinear Creep Theory

被引：0
作者：
S. M. Mkhitaryan
机构：
[1] National Academy of Sciences of Republic of Armenia,Institute of Mechanics
来源：
Mechanics of Solids | 2019年 / 54卷
关键词：
steady-state creep; power law; stress; strain rate; antiplane deformation of a half-space; mixed problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the case of antiplane deformation, a mixed boundary value problem of the nonlinear steady-state creep theory (NSSCT) is considered for the power law of relation between stresses and strain rates for a half-space, when the strain rates are set on one part of its boundary plane while the tangential stresses are equal to zero on the other part of its boundary plane. A closed solution of the problem is constructed. For the comparative analysis, an approximate solution of the problem is obtained. A special case is considered.
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页码：461 / 473
页数：12
相关论文
共 21 条
  • [1] Arutyunyan N Kh(1959)The Plane Contact Problem of the Theory of Creep Prikl. Mat. Mekh. 23 901-924
  • [2] Arutyunyan N Kh(1959)Plane Contact Problem of Creeping with Power-Law Strengthening of the Material Izv. Akad. Armyan. SSR. Ser. Fiz.-Mat. Nauk 12 77-105
  • [3] Atkinson C(1971)A Note on Crack Problems in Power-Law Elastic Materials and Contact Problems in Nonlinear Creep Int. I. Engng Sci. 9 729-739
  • [4] Lee Y S(1987)Application of Complex Variables and Pseudostress Function to Power-Law Materials and Stress Analisys of Single Rigid Inclusion in Power-Law Materials Subjected to Simple Tension and Pure Shear Int. J. Mech. Sci. 29 669-694
  • [5] Gong H(2012)Solution of the first boundary value problem of nonlinear theory of steady-state creep for a half-space in antiplane deformation Mechanics of Solids 47 646-653
  • [6] Mkhitaryan S. M.(2013)Ice Flow relations for Stress and Strain-Rate Components from Combined Shear and Compression Laboratory Experiments J. Glac. 59 374-392
  • [7] Budd W F(2018)Implementing an Empirical Scalar Constitutive Relation for Ice with Flow-Induced Polycrystalline Anisotropy in Large-Scale Ice Sheet Models Crysph. 12 1047-1067
  • [8] Warner R C(2018)Greenland Ice Sheet: Higher Nonlinearity of Ice Flow Significantly Reduces Estimated Basal Motion Geophysical Research Letters 45 6542-6548
  • [9] Jacka T H(1963)Some Properties of Classical Polynomials and Their Application to Contact Problems Prikl. Mat. Mekh. 27 821-832
  • [10] Graham F S(undefined)undefined undefined undefined undefined-undefined
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