Non-standard Discretisation Methods in Solid Mechanics

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 meth...

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Bibliographic Details
Other Authors: Schröder, Jörg (Editor), Wriggers, Peter (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Lecture Notes in Applied and Computational Mechanics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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