Tensor Expression of Elastic-Plastic Constitutive Equation Based on Hill's Anisotropic Yield Surface Equation

2002 ◽  
Vol 2002.2 (0) ◽  
pp. 61-62
Author(s):  
Hiroyasu YAMAMOTO ◽  
Chunhung CHEN
Keyword(s):  
Constitutive Equation ◽  
Yield Surface ◽  
Surface Equation ◽  
Elastic Plastic ◽  
Tensor Expression

Elastic-Plastic Constitutive Equation Accounting for Microstructure

2007 ◽  
pp. 1037-1042
Author(s):  
Shuji Takashima ◽  
Noriyuki Miyazaki ◽  
Toru Ikeda ◽  
Michihiko Nakagaki
Keyword(s):  
Constitutive Equation ◽  
Elastic Plastic

A yield surface equation for doubly symmetrical sections

1990 ◽  
Vol 12 (2) ◽  
pp. 114-119 ◽  
Author(s):  
Lian Duan ◽  
Wai-Fah Chen
Keyword(s):  
Yield Surface ◽  
Surface Equation

A Complementary Work Bounding Principle for Forward Integration Along the Path of Loading for Elasto-Plastic Bodies

1987 ◽  
Vol 54 (2) ◽  
pp. 341-345 ◽  
Author(s):  
J. B. Martin
Keyword(s):  
Constitutive Equation ◽  
Internal Variable ◽  
Loading Path ◽  
Plastic Body ◽  
Elastic Plastic ◽  
Time Discretisation ◽  
Forward Integration

The paper presents an extension of the complementary work bounding principle of Hodge (1966) for integration along the path of loading for a statically loaded elastic-plastic body. Using an internal variable framework, the concept of a piecewise holonomic constitutive equation, updated at discrete intervals along the loading path, is introduced. It is shown that the complementary work over the entire path decreases (or does not increase) each time the last interval is subdivided. The result has some interesting implications with regard to the formulation of a mechanical principle for time discretisation along the loading path, and these are explored.

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