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Author Carstensen, Carsten ♦ Huth, Robert
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Effective Elastoplastic Evolution ♦ Towards Effective Simulation ♦ Relaxation Finite Element Method ♦ Generalised Solution Concept ♦ A.m Ielke ♦ Finite Plasticity ♦ Single-slip Finite Plasticity ♦ Nu-merical Benchmark ♦ Stim-ulating Discussion ♦ Adaptive Spacial Discretisation ♦ S.c Onti ♦ Semiconvexity Notion ♦ Non-convex Minimisation Problem ♦ Natural Implicit Time-discretisation ♦ Convexified For-mulations ♦ Fine Strain Oscillation ♦ Finite Elastoplasticity ♦ Computational Challenge ♦ A.o Rlando ♦ General Strategy
Abstract Summary. This paper summarises the general strategy for time evolving finite elastoplasticity and outlines encountered computational challenges in form of nu-merical benchmarks. Each time-step of some natural implicit time-discretisation is eventually recast into a possibly non-convex minimisation problem. Finite plasticity seems to imply the lack of lower semicontinuity of the energy functional and so leads to enforced fine strain oscillations called microstructures with required generalised solution concepts. The adaptive spacial discretisation is possible for convexified for-mulations from the relaxation finite element method (RFEM). For single-slip finite plasticity, one requires to relax numerically with laminates or semiconvexity notions. Acknowledgement. The authors thank: S.Conti, A.Mielke and A.Orlando for stim-ulating discussions and collaborations and the DFG for support via the FG797 1
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article