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Recent Advances in Computational Fracture Mechanics

John Dolbow, Duke Universtiy

Yoshitaka Wada, Kindai University

Xiaosheng Gao, University of Akron

Adrian Lew, Stanford University

Christan Linder, Stanford University

Toshio Nagashim, Sophia University

Hiroshi Okada, Tokyo University of Science

N. Sukumar, University of California-Davis

Computational fracture mechanics refers to the creation of numerical methods to approximate solids at failure. The last few years have experienced a resurgence of activity in the formulation of discrete and diffusive fracture mechanics models, particularly to place them within a sound mathematical framework, as well as to address open questions related to crack nucleation and evolution, especially in coupled materials and three dimensions.

This minisymposium represents a merge of two prior minisymposia, both focused on recent developments in fracture mechanics.  Applications of computational methodologies, such as, FEM, X-FEM, G-FEM, S-FEM, BEM and other advanced numerical techniques will be discussed in the mini-symposium. Application areas of interest span a wide range, from aerospace, automobile, naval architecture, nuclear power, mechanical/civil engineering, to other structural applications. The goal of this minisymposium is to bring together researchers working on the formulation and/or numerical analysis of methods in computational fracture mechanics, including but not limited to the following strategies:

- Strong Discontinuity Methods

- Extended and Generalized Finite Element Methods

- R-adaptive methods, such as those based on Configurational Forces 

- Meshfree methods, such as the Material Point Method and the Reproducing Kernel Particle Methods

- Phase-field and Variational Approaches to Fracture

- Discontinuous Galerkin and Polytopal Finite Element Methods

- Methods for Cohesive Fracture Models, including those based on cohesive elements

- Models for crack nucleation and evolution in materials with electric, magnetic, or chemical coupling

- Models and methods designed to effect a transition from damage to fracture

as well as researchers interested in the various physical phenomena accompanying the fracture process.