A numerical study of holonomic approximations to problems in plasticity | Zendy

Griffin T. B. | Zendy; Reddy B. D. | Zendy; Martin J. B. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

A numerical study of holonomic approximations to problems in plasticity

Author(s) -

Griffin T. B.,

Reddy B. D.,

Martin J. B.

Publication year - 1988

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620260614

Subject(s) - holonomic , mathematics , variational inequality , finite element method , boundary value problem , holonomic constraints , algebraic equation , approximations of π , algebraic number , minification , numerical analysis , mathematical analysis , mathematical optimization , nonlinear system , computer science , classical mechanics , physics , artificial intelligence , quantum mechanics , thermodynamics

The incremental holonomic boundary‐value problem in elastoplasticity has been shown to be characterized by a variational inequality. The problem may be approximated, however, by a perturbed minimization problem, characterized by a variational equality. This formulation is used as the basis for constructing finite element approximations of the original boundary‐value problem, leading to a system of non‐linear algebraic equations. Procedures for solving these equations are described and numerical results are presented and compared with those obtained using a conventional approach.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research