The last few years have experienced a resurgence of activity in the formulation of 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 three-dimensions. New classes of models have appeared, such as smeared crack models, Peridynamics, and the variational theory of brittle fracture. Computational fracture mechanics refers to the creation of numerical methods to approximate the crack evolutions predicted by these models.

The goal of this mini-symposium 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 Method
  • Extended Finite Element Method
  • R-adaptive methods, such as those based on Configurational Forces or Universal Meshes
  • Meshfree methods, such as the Material Point Method, or methods based on Peridynamics
  • Phase-field models in brittle fracture
  • Discontinuous Galerkin and Polytopal Finite Element Methods
  • Methods for Cohesive Fracture Models, including those based on cohesive elements

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Schedule

3D fracture analysis of concrete under uniaxial tension at the mesoscale

Okan Yilmaz, EPFL
Jean-François Molinari, EPFL, Switzerland

A direct method to extract strain energy release rates using XFEM and Irwin’s integral

Haim Waisman, Columbia University, United States
Gan Song, Columbia University, United States
Mengyu Lan, Columbia University, United States
Isaac Harari, Tel Aviv University, Israel

A discrete damage zone model for mixed-mode delamination of composites under high-cycle fatigue

Stephen Jimenez, Vanderbilt University

A dynamic multiscale phase-field method for cracks

Vaibhav Agrawal, Carnegie Mellon University, United States
Kaushik Dayal, Carnegie Mellon University, United States

A generalized finite element method with global–local enrichments for the 3D simulation of propagating cohesive fractures

Jongheon Kim, UIUC, United States
C. Armando Duarte, UIUC, United States

A locking-free and optimally convergent discontinuous-Galerkin-based extended finite element method for cracked nearly incompressible solids

Yongxing Shen, Shanghai Jiao Tong University

A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity

Stefanie Heyden, California Institute of Technology, United States
Michael Ortiz, California Institute of Technology, United States
Kerstin Weinberg, University of Siegen, Germany
Sergio Conti, University of Bonn, Germany
Bo Li, Case Western Reserve University, United States

Assessing mesh convergence in discrete-fracture simulations that use random meshes

Joseph Bishop, Sandia National Laboratories

Augmented finite element method for progressive damage in complex heterogeneous materials

Qingda Yang, University of Miami, United States
Mehdi Naeri, University of Miami, United States

Cohesive fracture simulations on polygonal finite element meshes

Joe Bishop, Sandia National Laboratories
N. Sukumar, University of California at Davis, United States

Computing stress intensity factors for curvilinear fractures

Adrian Lew, Stanford University

Dynamic brittle fracture as a small horizon limit of unstable nonlocal dynamics

Robert Lipton, Louisiana State University

Energy release rate based dynamic crack propagation

Leyu Wang, The George Washington University, United States
James Lee, The George Washington University, United States

Failure of brittle heterogeneous materials: intermittency or continuum regime

Jonathan Bares, Duke University, United States
Daniel Bonamy, CEA, Saclay, France

Fracture simulation of Co-continuous composite materials under static loading

Fraaz Tahir, Arizona State University, United States
Yongming Liu, Arizona State University, United States
Lifeng Wang, Stony Brook University, United States

Fracture simulation using a nonlocal particle model

Hailong Chen, Arizona State University, United States
Yongming Liu, Arizona State University, United States

Higher order methods for simulating fracturing with applications in multiphysics problems

Maurizio Chiaramonte, Stanford University

Hydromechanical modeling of hydraulic fracturing in poroelastic media using the extended finite element method

Toktam Mohammadnejad, California Institute of Technology, United States
Jose Andrade, California Institute of Technology, United States

Implications of heterogeneity on toughening in solids

Md Hossain, California Institute of Technology, United States
Kaushik Bhattacharya, California Institute of Technology, United States
Blaise Bourdin, Lousiana State University, United States

Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics

Varun Gupta, University of Illinois at Urbana-Champaign, United States
Armando Duarte, University of Illinois at Urbana-Champaign, United States

New three dimensional finite elements to model solids at failure

Christian Linder, Stanford University, United States

Peridynamic bending and failure with nonordinary state-based models

James O’Grady, The University of Texas at San Antonio, United States
John Foster, The University of Texas at San Antonio, United States

Peridynamic model for fatigue cracks

Stewart Silling, Sandia National Laboratories
Abe Askari, The Boeing Company, United States

Phase field modeling of crack propagation in double cantilever beam under Mode I

Oleksandr Kravchenko, School of Aeronautics and Astronautics
Yuesong Xie, School of Mechanical Engineering
Marisol Koslowski, School of Mechanical Engineering
Byron R. Pipes, School of Aeronautics and Astronautics, Schools of Materials Engineering and Chemical Engineering, Purdue University, 701 W. Stadium Ave., Armstrong Hall of Engineering, West Lafayette, IN 47907, United States

Phase-field methods for predicting fracture in brittle and ductile materials

Michael Borden, North Carolina State University
Thomas Hughes, The University of Texas at Austin, United States
Chad Landis, The University of Texas at Austin, United States

Three-dimensional fracture growth as a standard dissipative system: some general theorems and numerical simulations

Alberto Salvadori, University of Brescia, Italy
Francesca Fantoni, University of Brescia, Italy

Toughening due to shear kinking in composites

Harika Tankasala, Cambridge University, United Kingdom
Norman Fleck, Cambridge University, United Kingdom
Vikram Deshpande, Cambridge University, United Kingdom