Classification of amorphous materials and the dynamic toughness problem - TIB AV-Portal

Classification of amorphous materials and the dynamic toughness problem

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Nishiura, Yasumasa

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Title

Classification of amorphous materials and the dynamic toughness problem

Title of Series

Phase-Field Models of Fracture (19w5207)

Number of Parts

19

Author

Nishiura, Yasumasa

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/58106 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

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Subject Area

Computer Science Mathematics Physics

Genre

Workshop/Interactive Format Lecture

Abstract

We apply the PCA and topological data analysis to the polymer materials like epoxy resin in order to classify its microstructure depending on the process. Based on this classification, we study the toughness problem via phase field approach.

Series

Phase-Field Models of Fracture (19w5207)3 / 19

1

27:31

Convergence of alternate minimization algorithms in phase field models of fracture with non-interpenetration

2

37:41

Constraints and penalties for phase-field flows in R2 and RN

3

43:49

Classification of amorphous materials and the dynamic toughness problem

4

40:33

Globally stable quasistatic evolution for cohesive fracture with fatigue

5

38:13

Phase field methods of fracture in heterogeneous media and structures: a combined bulk-interface-like crack method

6

21:07

Crack computing with Discrete Element Methods

7

34:17

A phase-field approach to quasistatic evolution for a cohesive fracture model

8

38:47

A variational phase-field model for hydraulic fracturing in poro-elastic media

9

52:43

Minimisation and Ambrosio-Tortorelli approximation for the Griffith energy with Dirichlet condition

10

38:11

Phase-field models for anisotropic and fatigue crack growth

11

43:04

Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity

12

40:02

Partial energy-dissipation and smoothing effect for constrained Allen-Cahn equations

13

42:01

Crack bridging and fiber debonding modeling using multiphase continuum and phase-field models

14

40:51

Nucleation and propagation of self-healable fracture in rubber

15

31:56

Phase-field modelling of ductile failure in fiber-reinforced composites

16

26:16

A variational phase-field approach to fatigue in brittle materials

17

42:57

Mathematical issues in combining evolution and Γ-convergence: dangers in phase-field dynamics

18

51:20

Numerical aspects of phase-field modelling of fracture: ideas, results and challenges

19

59:23

Mathematical aspects of phase field approximation of fracture models

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