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Advisory Committee Chair

David L Littlefield

Advisory Committee Members

Lee G Moradi

Christopher Waldron

David L Littlefield

Document Type

Thesis

Date of Award

2016

Degree Name by School

Master of Science in Mechanical Engineering (MSME) School of Engineering

Abstract

Beginning with a brief introduction to fundamental concepts in computational plasticity, a new return algorithm is presented and its accuracy analyzed against the generalized trapezoid and midpoint rules of Ortiz and Popov (1985). Development of the new scheme, labeled Time Centered Plastic Strain (TCPS), is motivated by the observation that the generalized methods disassociate the evaluation of the two parts of the flow rule, the plastic multiplier and the gradient of the plastic potential. TCPS addresses this flaw by incorporating an explicit evaluation of the flow rule in its formulation. Error plots are presented utilizing two test cases, the von Mises model with mixed linear hardening and the Drucker Prager model with linear isotropic hardening. An optimization study is also conducted for each algorithm and for both test cases minimizing the algorithmic error as a function of an adjustable parameter, α and a given strain increment.

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