IUTAM Symposium on Discretization Methods for Evolving Discontinuities [electronic resource] / edited by Alain Combescure, René Borst, Ted Belytschko.Material type: TextLanguage: English Series: IUTAM Bookseries: 5Publisher: Dordrecht : Springer Netherlands, 2007Description: IX, 436 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781402065309Subject(s): Engineering | Computer simulation | Computer science | Mechanics | Materials | Engineering | Continuum Mechanics and Mechanics of Materials | Computational Intelligence | Mechanics | Simulation and Modeling | Computational Science and EngineeringAdditional physical formats: Printed edition:: No titleDDC classification: 620.1 LOC classification: TA405-409.3QA808.2Online resources: Click here to access online
Meshless Finite Element Methods -- Meshless discretisation of nonlocal damage theories -- Three-dimensional non-linear fracture mechanics by enriched meshfree methods without asymptotic enrichment -- Accounting for weak discontinuities and moving boundaries in the context of the Natural Element Method and model reduction techniques -- Discontinuous Galerkin Methods -- Modeling Evolving Discontinuities with Spacetime Discontinuous Galerkin Methods -- Analysis of a finite element formulation for modelling phase separation -- Finite Element Methods with Embedded Discontinuities -- Recent Developments in the Formulation of Finite Elements with Embedded Strong Discontinuities -- Evolving Material Discontinuities: Numerical Modeling by the Continuum Strong Discontinuity Approach (CSDA) -- A 3D Cohesive Investigation on Branching for Brittle Materials -- Partition-of-Unity Based Finite Element Methods -- On Applications of XFEM to Dynamic Fracture and Dislocations -- Some improvements of Xfem for cracked domains -- 2D X-FEM Simulation of Dynamic Brittle Crack Propagation -- A numerical framework to model 3-D fracture in bone tissue with application to failure of the proximal femur -- Application of X-FEM to 3D Real Cracks and Elastic-Plastic Fatigue Crack Growth -- Accurate Simulation of Frictionless and Frictional Cohesive Crack Growth in Quasi-Brittle Materials Using XFEM -- On the Application of Hansbo’s Method for Interface Problems -- An optimal explicit time stepping scheme for cracks modeled with X-FEM -- Variational Extended Finite Element Model for Cohesive Cracks: Influence of Integration and Interface Law -- An Evaluation of the Accuracy of Discontinuous Finite Elements in Explicit Dynamic Calculations -- A discrete model for the propagation of discontinuities in a fluid-saturated medium -- Single Domain Quadrature Techniques for Discontinuous and Non-Linear Enrichments in Local Partion of Unity FEM -- Other Discretization Methods -- Numerical determination of crack stress and deformation fields in gradient elastic solids -- The variational formulation of brittle fracture: numerical implementation and extensions -- Measurement and Identification Techniques for Evolving Discontinuities -- Conservation under Incompatibility for Fluid-Solid-Interaction Problems: the NPCL Method.
Discontinuities arean important domain in the mechanics of solidsand ?uids. With mechanics focusing on smaller and smaller length scales in order to understand the physics that underly many phenomena that hitherto were modelled in a phenomenological manner, the need to properly model d- continuities increases rapidly. Classical examples are cracks, shear bands and rock faults at a macroscopic level. However, the increase in computational power has made it possible to also analyse phenomena like delamination and debonding in composites (mesoscopic level) and phase boundaries and dis- cation movements at the microscopic and nanoscopic level. While the above examples all pertain to solid mechanics, albeit at a wide range of scales, te- nicallyimportant(moving)?uid-solidinterfacesappearinweldingandcasting processes and in aeroelasticity. Standard discretization methods such as ?nite element, ?nite di?erence or boundaryelementmethods havebeendevelopedfor continuousmedia andare less well suited for treating evolving discontinuities. Indeed, they are appr- imationmethodsforthesolutionofthepartialdi?erentialequations,whichare valid on a domain. Discontinuities divide this domain into two or more parts and at the interface special solution methods must be employed. This holds a fortiori for moving discontinuities such as Luder ¨ s–Piobert bands, Portevin-le- Chatelier bands, solid-state phase boundaries, ?uid-solid interfaces and dis- cations.