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Titlebook: Non-standard Discretisation Methods in Solid Mechanics; Jörg Schröder,Peter Wriggers Book 2022 The Editor(s) (if applicable) and The Autho

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书目名称Non-standard Discretisation Methods in Solid Mechanics
编辑Jörg Schröder,Peter Wriggers
视频video
概述Summarizes recent advances in finite element technologies.Focuses on modern phase-field approaches to fracture.Written by leading experts in the field
丛书名称Lecture Notes in Applied and Computational Mechanics
图书封面Titlebook: Non-standard Discretisation Methods in Solid Mechanics;  Jörg Schröder,Peter Wriggers Book 2022 The Editor(s) (if applicable) and The Autho
描述This edited volume summarizes research being pursued within the DFG Priority Programme 1748: "Reliable Simulation Methods in Solid Mechanics. Development of non-standard discretisation methods, mechanical and mathematical analysis", the aim of which was to develop novel discretisation methods based e.g. on mixed finite element methods, isogeometric approaches as well as discontinuous Galerkin formulations, including a sound mathematical analysis for geometrically as well as physically nonlinear problems. The Priority Programme has established an international framework for mechanical and applied mathematical research to pursue open challenges on an inter-disciplinary level. The compiled results can be understood as state of the art in the research field and show promising ways of further research in the respective areas. The book is intended for doctoral and post-doctoral students in civil engineering, mechanical engineering, applied mathematics and physics, as well as industrial researchers interested in the field..
出版日期Book 2022
关键词mixed finite element methods; phase-field approach; isogeometric analysis; finite cell method; Petrov-Ga
版次1
doihttps://doi.org/10.1007/978-3-030-92672-4
isbn_softcover978-3-030-92674-8
isbn_ebook978-3-030-92672-4Series ISSN 1613-7736 Series E-ISSN 1860-0816
issn_series 1613-7736
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Stress Equilibration for Hyperelastic Models,tly from the Galerkin approximation also serves as an upper bound for the discretization error. These properties are illustrated by computational experiments for an incompressible rigid block loaded on one half of its top boundary.
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Phase Field Modeling of Brittle and Ductile Fracture,e fracture phase field model the existing model is extended to ductile fracture introducing plastic deformation. Depending on the hardening behavior different fracture modes are obtained and discussed.
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1613-7736 the fieldThis edited volume summarizes research being pursued within the DFG Priority Programme 1748: "Reliable Simulation Methods in Solid Mechanics. Development of non-standard discretisation methods, mechanical and mathematical analysis", the aim of which was to develop novel discretisation meth
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Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture, to our newly developed mixed phase-field fracture method for Poisson ratios approaching .. Finally, for ., we compare the numerical results of the mixed formulation with a pressure robust modification.
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