Mathematical Foundations of Limit Criterion for Anisotropic Materials

Archives of Metallurgy and Materials

P. Szeptyński¹  R.B. Pęcherski²  J. Ostrovvska-Maciejewska² 

[1] AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY, FACULTY OF MECHANICAL ENGINEERING AND ROBOTICS, DEPARTMENT OF THE STRENGTH AND FATIGUE OF MATERIALS AND STRUCTURES, AL. A. MICKIEWICZA 30, 30-059 KRAKOW, POLAND;INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH, POLISH ACADEMY OF SCIENCES, PAWINSKIEGO 5B, 02-106 WARSAW, POLAND

关键词: Keywords: anisotropy;    strength hypothesis;    material e?ort;    yield condition;    plastic potential;    strength differential effect;    elasticity;    plasticity;   

DOI  :  10.2478/amm-2013-0155

学科分类：金属与冶金

来源: Akademia Gorniczo-Hutnicza im. Stanislawa Staszica / University of Mining and Metallurgy

【 摘 要 】

In the paper a new proposition of limit state criteria for anisotropic solids exhibiting different strengths at tension and compression is presented. The proposition is based on the concept of energetically orthogonal decompositions of stress state introduced by Rychlewski. The concept of stress state dependent parameters describing the influence of certain stress modes on the total measure of material effort was firstly presented by Burzynski. The both concepts are reviewed in the paper. General formulation of a new limit criterion as well as its specification for certain elastic symmetries is given. It is compared with some of the other known limit criteria for anisotropic solids. General methodology of acquiring necessary data for the criterion specification is presented. The ideas of energetic and limit state orthogonality are discussed - their application in representation of the quadratic forms of energy and limit state criterion as a sum of square terms is shown

【 授权许可】

Unknown