Irreversible phase field models for crack growth in industrial applications: thermal stress, viscoelasticity, hydrogen embrittlement

M Kimura, T Takaishi, S Alfat, T Nakano, Y Tanaka - SN Applied Sciences, 2021 - Springer
Three new industrial applications of irreversible phase field models for crack growth are
presented in this study. The phase field model for irreversible crack growth in an elastic …

Phase field model for mode III crack growth in two dimensional elasticity

T Takaishi, M Kimura - Kybernetika, 2009 - dml.cz
A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic
material is proposed. We introduce a phase field to represent the shape of the crack with a …

A beam to 3D model switch in transient dynamic analysis

M Tannous, P Cartraud, D Dureisseix… - Finite Elements in …, 2014 - Elsevier
Transient structural dynamic analyses often exhibit different phases, which enable one to
use an adaptive modeling. Thus, a 3D model is required for a better understanding of local …

[PDF][PDF] Quantitative study of adaptive mesh FEM with localization index of pattern

M Kimura, H Komura, M Mimura, H Miyoshi, T Takaishi… - 2006 - math.kyushu-u.ac.jp
We study the effectivity of an adaptive mesh algorithm with triangular finite elements for two
or three dimensional pattern dynamics appearing in several reactiondiffusion systems. The …

A phase field approach to mathematical modeling of crack propagation

M Kimura, T Takaishi - A Mathematical Approach to Research Problems of …, 2014 - Springer
We consider a phase field model for crack propagation in an elastic body. The model is
derived as an irreversible gradient flow of the Francfort-Marigo energy with the Ambrosio …

Finite element simulations with adaptively moving mesh for the reaction diffusion system

C Xie, X Hu - Numerical Mathematics: Theory, Methods and …, 2016 - cambridge.org
A moving mesh method is proposed for solving reaction-diffusion equations. The finite
element method is used to solving the partial different equation system, and an efficient …

Simulasi Numerik untuk Pertumbuhan Retakan pada Bahan Heterogen: Studi Kasus pada Bitumen Aspal

S Alfat, S Sudirman - JRST (Jurnal Riset Sains dan …, 2020 - jurnalnasional.ump.ac.id
Penelitian ini bertujuan untuk menunjukkan perilaku pertumbuhan retakan pada perkerasan
aspal menggunakan model Takaishi-Kimura dan mengetahui tingkat kerusakan oleh energi …

[PDF][PDF] MI Preprint Series

T Takaishi, M Kimura - researchgate.net
A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic
material is proposed. We introduce a phase field to represent the shape of the crack with a …

[PDF][PDF] Phase field model for mode III crack growth in two dimensional elasticity

高石, 木村 - MI Preprint Series, 2009 - api.lib.kyushu-u.ac.jp
A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic
material is proposed. We introduce a phase field to represent the shape of the crack with a …

Phase field model for mode III crack growth in two dimensional elasticity

高石武史, 木村正人 - 2009 - catalog.lib.kyushu-u.ac.jp
A phase field model for anti-plane shear crack growth in two dimensional isotropic elastic
material is proposed. We introduce a phase field to represent the shape of the crack with a …