Non-standard Discretisation Methods in Solid Mechanics

Häftad, Engelska, 2023

Del i serien Lecture Notes in Applied and Computational Mechanics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2023-04-16
Mått:155 x 235 x undefined mm
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Applied and Computational Mechanics
Antal sidor:565
Förlag:Springer Nature Switzerland AG
ISBN:9783030926748

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Innehållsförteckning

Hybrid discretization in solid mechanics for non-linear and non-smooth problems.- Novel Finite Elements - Mixed, Hybrid and Virtual Element Formulations at Finite Strains for 3D Applications.- Robust and Efficient Finite Element Discretizations for Higher-Order Gradient Formulations.- Weakly symmetric stress equilibration for hyperelastic material models.- Adaptive least-squares, discontinuous Petrov-Galerkin, and hybrid high-order methods.- Least-Squares Finite Elements for Large Strain Elasto-Plasticity.- Hybrid Mixed Finite Element Formulations based on a Least-Squares Approach.- Adaptive and Pressure-Robust Discretization of Nearly-Incompressible Phase-Field Fracture.- A detailed investigation of the phase-field approach to fracture in linear and finite elasticity.- Adaptive isogeometric phase-field modelling of heterogeneous solids.- Phase Field Modeling of Brittle and Ductile Fracture.- Adaptive quadrature and remeshing Strategies for the Finite Cell Method at large Deformations.- The Finite Cell Method for Simulation of Additive Manufacturing.- A posteriori Error Control and Adaptivity for the Finite Cell Method .- Frontiers in Mortar Methods for Isogeometric Analysis.- Beyond isogeometric and stochastic collocation in nonlinear mechanics.- Finite element methods for rate-independent damage processes.