Investigation of mesh dependency issues in the simulation of crack propagation in quasi‐brittle materials by using a diffuse interface modeling approach

2021 ◽  
Author(s):  
Arturo Pascuzzo ◽  
Fabrizio Greco ◽  
Lorenzo Leonetti ◽  
Paolo Lonetti ◽  
Andrea Pranno ◽  
...  
Keyword(s):  
Crack Propagation ◽  
Brittle Materials ◽  
Diffuse Interface ◽  
Mesh Dependency ◽  
Modeling Approach ◽  
Interface Modeling

scholarly journals Contact-line behavior in boiling on a heterogeneous surface: Physical insights from diffuse-interface modeling

2020 ◽  
Vol 5 (3) ◽  
Author(s):  
Biao Shen ◽  
Jiewei Liu ◽  
Gustav Amberg ◽  
Minh Do-Quang ◽  
Junichiro Shiomi ◽  
...  
Keyword(s):  
Contact Line ◽  
Heterogeneous Surface ◽  
Diffuse Interface ◽  
Interface Modeling

Diffuse interface modeling of liquid–vapor phase transition with hysteresis

2008 ◽  
Vol 403 (2-3) ◽  
pp. 505-508 ◽  
Author(s):  
I. Jancskar ◽  
Z. Sari ◽  
L. Szakonyi ◽  
A. Ivanyi
Keyword(s):  
Phase Transition ◽  
Vapor Phase ◽  
Diffuse Interface ◽  
Interface Modeling ◽  
Liquid Vapor

scholarly journals LES Eulerian diffuse-interface modeling of fuel dense sprays near- and far-field

2020 ◽  
Vol 127 ◽  
pp. 103272 ◽  
Author(s):  
J.M. Desantes ◽  
J.M. García-Oliver ◽  
J.M. Pastor ◽  
I. Olmeda ◽  
A. Pandal ◽  
...  
Keyword(s):  
Diffuse Interface ◽  
Far Field ◽  
Interface Modeling

scholarly journals A Proper Generalized Decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material properties

2019 ◽  
Vol 65 (2) ◽  
pp. 451-473 ◽  
Author(s):  
Hasini Garikapati ◽  
Sergio Zlotnik ◽  
Pedro Díez ◽  
Clemens V. Verhoosel ◽  
E. Harald van Brummelen
Keyword(s):  
Crack Propagation ◽  
Material Properties ◽  
Computational Cost ◽  
Brittle Materials ◽  
Energy Criterion ◽  
Reduced Order Modeling ◽  
Proper Generalized Decomposition ◽  
Modeling Framework ◽  
Global Energy ◽  
Reduced Order

Abstract Understanding the failure of brittle heterogeneous materials is essential in many applications. Heterogeneities in material properties are frequently modeled through random fields, which typically induces the need to solve finite element problems for a large number of realizations. In this context, we make use of reduced order modeling to solve these problems at an affordable computational cost. This paper proposes a reduced order modeling framework to predict crack propagation in brittle materials with random heterogeneities. The framework is based on a combination of the Proper Generalized Decomposition (PGD) method with Griffith’s global energy criterion. The PGD framework provides an explicit parametric solution for the physical response of the system. We illustrate that a non-intrusive sampling-based technique can be applied as a post-processing operation on the explicit solution provided by PGD. We first validate the framework using a global energy approach on a deterministic two-dimensional linear elastic fracture mechanics benchmark. Subsequently, we apply the reduced order modeling approach to a stochastic fracture propagation problem.

Influence of micro-modulus functions on peridynamics simulation of crack propagation and branching in brittle materials

2019 ◽  
Vol 216 ◽  
pp. 106498 ◽  
Author(s):  
Zhiyong Chen ◽  
J. Woody Ju ◽  
Guoshao Su ◽  
Xiaohua Huang ◽  
Shuang Li ◽  
...  
Keyword(s):  
Crack Propagation ◽  
Brittle Materials
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