A gradient micromorphic modeling for plasticity softening
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
Localization of internal quantities, which induce material softening, potentially leads to an ill-posed global partial differential equation. Along with further developments of singularity issues in the simulations, an unwanted divergent numerical solution may occur. The work at hand attempts to formulate a ductile softening model by considering a size reduction of the plastic yield surface. An internal variable to reduce the size of the plastic yield surface is constituted by a gradient micromorphic approach. In detail, a degradation function induced by an internal softening quantity is employed to multiply the thermodynamic force of plastic hardening in the yield function. In this regard, a gradually shrinking plastic yield surface is constituted to model the overall softening response. The evolution of the internal softening variable is governed by a KUHN–TUCKER condition together with its non-local extension. The present constitutive model of the coupled softening problem is derived based on a thermodynamically consistent algorithm from a well-defined HELMHOLTZ free energy potential, which is implemented into the context of a conventional Finite Element Method. A representative and meaningful numerical example is studied to demonstrate the capability of the present model.
Details
Original language | English |
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Article number | 103925 |
Journal | Mechanics Research Communications |
Volume | 124 |
Publication status | Published - Sept 2022 |
Peer-reviewed | Yes |
External IDs
Scopus | 85132761581 |
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