Irreversible phase field models for crack growth in industrial applications: thermal stress, viscoelasticity, hydrogen embrittlement
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 …
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 …
material is proposed. We introduce a phase field to represent the shape of the crack with a …
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 …
derived as an irreversible gradient flow of the Francfort-Marigo energy with the Ambrosio …
[PDF][PDF] Reaction-diffusion systems on evolving domains with applications to the theory of biological pattern formation
C Venkataraman - 2011 - core.ac.uk
In this thesis we investigate a model for biological pattern formation during growth
development. The pattern formation phenomenon is described by a reaction-diffusion …
development. The pattern formation phenomenon is described by a reaction-diffusion …
[PDF][PDF] Investigasi Numerik Pengaruh Sudut Geser Terhadap Energi Elastisitas dan Permukaan Menggunakan Adaptive Finite Element MEthod
Pemodelan pengaruh sudut geser terhadap energi elastisitas dan permukaan pada
fenomena pertumbuhan retakan telah dilakukan dengan baik. Penelitian ini sudah …
fenomena pertumbuhan retakan telah dilakukan dengan baik. Penelitian ini sudah …
[PDF][PDF] A phase field model of crack propagation in thermoelasticity
S Alfat - 2016 - researchgate.net
Since thermal expansion is injected an elastic body, so will be accompanied by shifts in the
relative positions of the particles composing the body, this phenomena is called …
relative positions of the particles composing the body, this phenomena is called …
[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 …
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 …
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 …
material is proposed. We introduce a phase field to represent the shape of the crack with a …
モードIII 亀裂進展のフェーズフィールドモデルとその数値計算(理論, 特異性を持つ連続体力学,< 特集> 平成21 年研究部会連合発表会)
高石武史 - 日本応用数理学会論文誌, 2009 - jstage.jst.go.jp
抄録 フェーズフィールドを用い, モード III 亀裂進展を記述する, 数値計算に好適な時間発展方程式
を導出し, 実際に亀裂進展現象が再現できることを数値計算で示した. 特に 2 …
を導出し, 実際に亀裂進展現象が再現できることを数値計算で示した. 特に 2 …