Coarse‐graining of multiscale crack propagation

By Ted Belytschko, Jeong‐Hoon Song. 2010

149 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/8199d60ed7cff9315bcb37c8f01b41a787d0fa46

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Multiscale Computational Homogenization: Review and Proposal of a New Enhanced-First-Order Method (2016, methodology): “[4], the strategy is based on aggregating discontinuities at the micro-scale and passing these to the macro-scale [5, 111].”
Multi‐scale computational homogenization–localization for propagating discontinuities using X‐FEM (2015, background): “The parallelization is natural in computational homogenization schemes, because at a given macroscopic increment and iteration, the MVE simulations are independent from each other, see, for example, [25, 31, 33].”
Variational Foundations and Generalized Unified Theory of RVE-Based Multiscale Models (2016, background): “For instance, in [9,8,109] a specific stress homogenization procedure has been proposed which excludes strain localization zones from the”
Homogenization-based multiscale crack modelling: from micro diffusive damage to macro cracks (2011, methodology): “In [18, 1], the authors have developed the MAD (Multiscale Aggregating Discontinuities) method in which a macroscopic crack is determined as equivalent to a bunch of microscale cracks.”
A computational library for multiscale modeling of material failure (2013, methodology): “Please refer to the work of Massart et al. [77,78] for the masonry cracking, Belytschko et al. [21], Belytschko and Song [22] (the MAD method), Allen et al. [124,125], Nguyen et al.[90–92 In the following, we will explain the very basic but general theory of semi-concurrent methods that leads us to…”