Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499322 | Computer Methods in Applied Mechanics and Engineering | 2009 | 7 Pages |
Abstract
In conventional stress space, the closest point projection (CPP) of computational plasticity in general does not provide the closest point in a Euclidean sense but rather in an energy metric. As an alternative, this contribution discusses an energy-mapped stress space such that CPP is indeed the closest point in a strict Euclidean sense. This perspective clarifies which yield surfaces can be handled analytically: analytical solutions are possible if the CPP can be expressed as a polynomial of order 4 or less. This is demonstrated by means of a modified Drucker–Prager yield surface in which the hydrostatic tensile apex is removed through the use of hyperbolic meridians.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Roger S. Crouch, Harm Askes, Tianbai Li,