A
Alexander Janz
Researcher at Karlsruhe Institute of Technology
Publications - 15
Citations - 171
Alexander Janz is an academic researcher from Karlsruhe Institute of Technology. The author has contributed to research in topics: Discretization & Finite element method. The author has an hindex of 5, co-authored 15 publications receiving 127 citations.
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A framework for polyconvex large strain phase-field methods to fracture
Christian Hesch,Antonio J. Gil,Rogelio Ortigosa,M. Dittmann,Carola Bilgen,Peter Betsch,Marlon Franke,Alexander Janz,Kerstin Weinberg +8 more
TL;DR: A novel formulation for finite strain polyconvex elasticity is presented by introducing a new anisotropic split based on the principal invariants of the right Cauchy–Green tensor, which always ensures polyconcexity of the resulting strain energy function.
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An energy–momentum consistent method for transient simulations with mixed finite elements developed in the framework of geometrically exact shells
Peter Betsch,Alexander Janz +1 more
TL;DR: In this paper, a mixed variational formulation for the development of energy-momentum consistent (EMC) time-stepping schemes is proposed, which accommodates mixed finite elements based on a Hu-Washizu-type variational approach in terms of displacements, Green-Lagrangian strains, and conjugated stresses.
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A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions
TL;DR: A new approach to the design of energy–momentum consistent algorithms for nonlinear elastodynamics is proposed, which yields an EM consistent semi-discrete formulation in the special case of a purely displacement-based method.
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An energy–momentum time integration scheme based on a convex multi-variable framework for non-linear electro-elastodynamics
TL;DR: A new one-step second order accurate energy–momentum (EM) preserving time integrator for reversible electro-elastodynamics is shown to be extremely useful for the long-term simulation of electroactive polymers (EAPs) undergoing massive strains and/or electric fields.