AN APPLICATION OF NONSYMMETRIC LAX-MILGRAM LEMMA TO NONASSOCIATED PLASTICITY

Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (5): 445-453.

AN APPLICATION OF NONSYMMETRIC LAX-MILGRAM LEMMA TO NONASSOCIATED PLASTICITY

岑燕明

Guizhou Institute for Nationalities, Guiyang

收稿日期:1989-09-19 出版日期:1991-05-18 发布日期:1991-05-18

AN APPLICATION OF NONSYMMETRIC LAX-MILGRAM LEMMA TO NONASSOCIATED PLASTICITY

Cen Yan-ming

Guizhou Institute for Nationalities, Guiyang

Received:1989-09-19 Online:1991-05-18 Published:1991-05-18

摘要/Abstract

摘要： Based on a general assumption for plastic potential and yield surface, some properties of the nonassociated plasticity are studied, and the existence and uniqueness of the distribution of incremental stress and displacement for work-hardening materials are proved by using nonsymmetric Lax-Milgram lemma, when the work-hardening parameter .

关键词: nonsymmetry, nonassociated plasticity, existence, uniqueness

Abstract: Based on a general assumption for plastic potential and yield surface, some properties of the nonassociated plasticity are studied, and the existence and uniqueness of the distribution of incremental stress and displacement for work-hardening materials are proved by using nonsymmetric Lax-Milgram lemma, when the work-hardening parameter .

Key words: nonsymmetry, nonassociated plasticity, existence, uniqueness

岑燕明. AN APPLICATION OF NONSYMMETRIC LAX-MILGRAM LEMMA TO NONASSOCIATED PLASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(5): 445-453.

Cen Yan-ming. AN APPLICATION OF NONSYMMETRIC LAX-MILGRAM LEMMA TO NONASSOCIATED PLASTICITY[J]. Applied Mathematics and Mechanics (English Edition), 1991, 12(5): 445-453.

[1]	J. R. FERNÁNDEZ, R. QUINTANILLA. A higher-order porous thermoelastic problem with microtemperatures[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(11): 1911-1926.
[2]	J. R. FERNÁNDEZ, R. QUINTANILLA. Moore-Gibson-Thompson theory for thermoelastic dielectrics[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(2): 309-316.
[3]	Hong XIA, Zhendong LUO. Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1721-1732.
[4]	Tiemei YANG, Weiyang YANG, Junlin LI, Xuexia ZHANG. Analysis on non-oscillatory singularity behaviors of mode Ⅱ interface crack tip in orthotropic bimaterial[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(9): 1177-1192.
[5]	D. M. WEI;S. AL-ASHHAB. Similarity solutions for non-Newtonian power-law fluid flow[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(9): 1155-1166.
[6]	A. ALGABA F.FERN′ANDEZ-S′ANCHEZ M. MERINO A.J.RODR′IGUEZ-LUIS. Comments on “Non-existence of Shilnikov chaos in continuous-time systems”[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(9): 1175-1176.
[7]	任九生程昌钧. Non-uniqueness and stability of two-family fiber-reinforced incompressible hyper-elastic sheet under equibiaxial loading[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(12): 1513-1520.
[8]	Z. ELHADJ J.C.SPROTT. Non-existence of Shilnikov chaos in continuous-time systems[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(3): 371-374.
[9]	A. K. VASHISHTH V. GUPTA. Uniqueness theorem, theorem of reciprocity, and eigenvalue problems in linear theory of porous piezoelectricity[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(4): 479-494.
[10]	房少梅金玲玉郭柏灵. Existence of weak solution for quantum Zakharov equations for plasmas model[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(10): 1339-1344.
[11]	邵玥吕存景. A direct proof of uniqueness of square-root of a positive semi-definite tensor[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(6): 713-716.
[12]	李慧玲. Global existence of weak solutions to a prey-predator model with strong cross-diffusion[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(6): 727-740.
[13]	刘冠琦王玉文史峻平. Existence and nonexistence of positive solutions of semilinear elliptic equation with inhomogeneous strong Allee effect[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(11): 1461-1468.
[14]	黄娟张健陈光淦. Stability of Schrödinger-Poisson type equations[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(11): 1469-1474.
[15]	刘法贵;孔德兴. GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(6): 703-713.

AN APPLICATION OF NONSYMMETRIC LAX-MILGRAM LEMMA TO NONASSOCIATED PLASTICITY

AN APPLICATION OF NONSYMMETRIC LAX-MILGRAM LEMMA TO NONASSOCIATED PLASTICITY

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价