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Showing 1 to 3 of 3 for “"Polygonal Finite Elements"”.
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Polygonal finite elements for finite elasticity
… interest, but challenging to model with standard finite elements. The challenges arise because nonlinear elastic materials undergo large reversible deformations, and often possess complex micro-structures. In this work, we propose and explore an alternative approach to model finite elasticity …
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Restriction methods for shape and topology optimization
… of solutions in detail and outline the key elements of a well-posed restriction formulation for both density and implicit function parametrizations of the shapes. In the latter case, we demonstrate both mathematically and numerically that without an additional ""transversality"" condition, …
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Failure processes in soft and quasi-brittle materials with nonhomogeneous microstructures
… as interfacial debonding), we use cohesive zone elements which follow the Park-Paulino-Roesler traction-separation relation. To account for friction, we present a new, coupled cohesive-friction relation and detail its formulation and implementation. In the process of this investigation, we …