Abstract
The plastic deformation of crystalline solids often gives rise to complex microstructural patterns, which can be observed experimentally and which have been reasoned to form as minimizers of non-quasiconvex energy potentials. We model the time-continuous evolution of laminate microstructures in finite-strain elastoplasticity via incrementally solving the stationarityconditions of the underlying minimum principles, replacing the nonconvex potentials by relaxed forms that account for laminate microstructures of first order. Here, we apply a timeincremental approach to investigate the orientation of the forming laminates dependent on the active slip system orientation. We present results for monotonic as well as cyclic stress-strain behavior. Moreover, we compare results from the present approach to those obtained by the well-established method using the so-called condensed energy for monotonic loading.
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Hackl, K., Kochmann, D.M. (2010). An Incremental Strategy for Modeling Laminate Microstructures in Finite Plasticity – Energy Reduction, Laminate Orientation and Cyclic Behavior. In: de Borst, R., Ramm, E. (eds) Multiscale Methods in Computational Mechanics. Lecture Notes in Applied and Computational Mechanics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9809-2_7
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DOI: https://doi.org/10.1007/978-90-481-9809-2_7
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