A Complementary Work Bounding Principle for Forward Integration Along the Path of Loading for Elasto-Plastic BodiesSource: Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 002::page 341Author:J. B. Martin
DOI: 10.1115/1.3173017Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper presents an extension of the complementary work bounding principle of Hodge (1966) for integration along the path of loading for a statically loaded elastic-plastic body. Using an internal variable framework, the concept of a piecewise holonomic constitutive equation, updated at discrete intervals along the loading path, is introduced. It is shown that the complementary work over the entire path decreases (or does not increase) each time the last interval is subdivided. The result has some interesting implications with regard to the formulation of a mechanical principle for time discretisation along the loading path, and these are explored.
keyword(s): Equations ,
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contributor author | J. B. Martin | |
date accessioned | 2017-05-08T23:24:13Z | |
date available | 2017-05-08T23:24:13Z | |
date copyright | June, 1987 | |
date issued | 1987 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26281#341_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/102120 | |
description abstract | The paper presents an extension of the complementary work bounding principle of Hodge (1966) for integration along the path of loading for a statically loaded elastic-plastic body. Using an internal variable framework, the concept of a piecewise holonomic constitutive equation, updated at discrete intervals along the loading path, is introduced. It is shown that the complementary work over the entire path decreases (or does not increase) each time the last interval is subdivided. The result has some interesting implications with regard to the formulation of a mechanical principle for time discretisation along the loading path, and these are explored. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | A Complementary Work Bounding Principle for Forward Integration Along the Path of Loading for Elasto-Plastic Bodies | |
type | Journal Paper | |
journal volume | 54 | |
journal issue | 2 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3173017 | |
journal fristpage | 341 | |
journal lastpage | 345 | |
identifier eissn | 1528-9036 | |
keywords | Equations | |
tree | Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 002 | |
contenttype | Fulltext |