On avoiding spurious mesh sensitivity in dynamic finite element analysis of plastic strain localization
Keywords:
strain localization, dynamic Iodin g, mesh sesitivity, finite elementAbstract
Failure analysis poses a some challenging problems when the degradation of the continuum into a discontinuum is to be captured. Indeed, the physics of progressive failure and its description in terms of continuum damage mechanics or strain softening plasticity raise a number of fundamental issues. The mathematical formulation of physically unstable phenomena leads to ill posed initial boundary problems. Therefore, the concomitant computational solution strategy is inherently sensitive to incipient failure and is then insufficiently robust to survive loss of stability, uniqueness and hyperbolicity. This paper will focus on the use of gradient plasticity theory as a localization limiter incorporated in beams theories to describe Mode-l failure analyses. The approach will be assessed and illustrated with model examples.
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