Yield Criteria - Maple Application Center

Yield Criteria

: Prof. Josef Betten
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This worksheet is concerned with the fomulation of yield criteria for isotropic and anisotropic materials. Yielding of anisotropic materials can be characterized by yield criteria, which are scalar-valued functions of the stress tensor and of several material tensors, for instance, of rank two or four, characterizing the anisotropic properties of the material. Because of the requirement of invariance, a yield criterion can be expressed as a single-valued function of the integrity basis, the elements of which are the irreducible invariants. In finding an integrity basis involving the stress tensor and material tensors, the constitutive equations are first formulated based on the tensor function theory. Since the plastic work characterizes the yield process, we read from this scalar expression the essential invariants to formulate a yield criterion. Some examples for practical use have been discussed in more detail.

Keywords:  Plastic Yielding; Isotropic and Anisotropic Materials; Plastic Work;    Integrity Basis; Incompressibility & Compressibility; Strength Differential Effect;  


Application Details

Publish Date: May 01, 2010
Created In: Maple 13
Language: English



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