Chen, G. and Baker, Graham (2004) Incompatible 3-node interpolation for gradient-dependent plasticity. Structural Engineering and Mechanics , 17 (1). pp. 87-97. ISSN 1225-4568
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In gradient-dependent plasticity theory, the yield, strength depends on the Laplacian of an equivalent plastic strain measure (hardening parameter), and the consistency condition results in a differential equation with respect to the plastic multiplier. The plastic multiplier is then discretized in addition to die usual discretization of the displacements, and the consistency condition is solved simultaneously with the equilibrium equations. The disadvantage is that the plastic multiplier requires a Hermitian interpolation that has four degrees of freedom at each node. Instead of using a Hermitian interpolation, in this article, a 3-node incompatible (trigonometric) interpolation is proposed for the plastic multiplier. This incompatible interpolation uses only the function values of each node, but it is continuous across element boundaries and its second-order derivatives exist within the elements. It greatly reduces the degrees of freedom for a problem, and is shown through a numerical example on localization to yield good results.
|Item Type:||Article (Commonwealth Reporting Category C)|
|Additional Information:||Abstract only. Author version not held.|
|Uncontrolled Keywords:||gradient-dependent plasticity; incompatible element; strain localization; trigonometric interpolation|
|Fields of Research (FOR2008):||09 Engineering > 0905 Civil Engineering > 090503 Construction Materials|
09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
|Socio-Economic Objective (SEO2008):||UNSPECIFIED|
|Deposited On:||18 May 2010 09:27|
|Last Modified:||18 May 2010 13:09|
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