Modeling plasticity by non-continuous deformation
Document typeConference report
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Plasticity and failure theories are still subjects of intense research. Yet, no compre-hensive theory has been achieved and the Molecular Dynamic method is far from providing a general model which contains only the essentials. This study is motivated by the observation that the continuum assumption in plasticity that neighbour material elements remain neigh-bours at all-time are physically impossible, since neighbour detachments, local slips and neighbour switching must operate, i.e., Non-Continuous Deformation (NCD). Material micro-structure is modelled by a set of point elements (particles) interacting with their neighbours. Each particle can detach from its neighbours and/or attach to a new neighbour during defor-mation. Simulations on two dimensional specimens subjected to uniaxial compression loading and unloading were conducted. Each specimen contained 100 particles with stochastic hetero-geneity controlled by a “disorder” parameter λ. It was found that a. the macro response is typ-ical to elasto-plastic behaviour; b. The number of detachments is linear with plastic energy; c. The number of attachments is linear with the residual strain, and d. Volume is preserved under plastic deformation. Rigid body displacement of local ensemble of elements was also ob-served. Higher disorder coefficient λ decreases the macro elastic modulus and increases the plastic energy.
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