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Analytical CPP in energy-mapped stress space: Application to a modified Drucker–Prager yield surface

Authors
Publisher
Elsevier B.V.
Publication Date
Volume
198
Identifiers
DOI: 10.1016/j.cma.2008.10.009
Keywords
  • Closest Point Projection
  • Computational Plasticity
  • Drucker–Prager
  • Analytical Stress Return
  • Energy-Mapped Stress Space
Disciplines
  • Computer Science

Abstract

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.

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