Surface energy evaluation using a modified 3-D M-integral for multiple surface cracks

J. H. Chang; J. S. Yang

doi:10.1016/j.ijsolstr.2020.07.008

Surface energy evaluation using a modified 3-D M-integral for multiple surface cracks

J. H. Chang, J. S. Yang

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In the present paper, we develope a 3-D M_srf-integral to evaluate the surface energy that is corresponding to formation of multiple surface cracks. The M_srf-integral is formulated by modifying the conventional 3-D M-integral with deliberate origination of the coordinate system and proper delimitation of the integral surface. The integral is demonstrated to be surface-independent in a modified manner and so can be accurately evaluated provided an integration surface remote from the crack fronts is selected. With this feature, the theory of integration can be straightforwardly incorporated into the finite element method. In fact, it is not necessary to simulate the near-front regions with very fine FE simulations to obtain accurate solutions of M_srf.

Original language	English
Pages (from-to)	75-83
Number of pages	9
Journal	International Journal of Solids and Structures
Volume	206
DOIs	https://doi.org/10.1016/j.ijsolstr.2020.07.008
State	Published - 1 Dec 2020

Keywords

M-integral
Multiple cracks
Surface crack
Surface energy
Surface-independence

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10.1016/j.ijsolstr.2020.07.008

Impact Analysis of the Near-Field Cracked Region in Deep Geologic Repositories for Spent Nuclear Fuel
Chang, J.-H. (PI)
1/08/19 → 31/07/20
Project: Research

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title = "Surface energy evaluation using a modified 3-D M-integral for multiple surface cracks",

abstract = "In the present paper, we develope a 3-D Msrf-integral to evaluate the surface energy that is corresponding to formation of multiple surface cracks. The Msrf-integral is formulated by modifying the conventional 3-D M-integral with deliberate origination of the coordinate system and proper delimitation of the integral surface. The integral is demonstrated to be surface-independent in a modified manner and so can be accurately evaluated provided an integration surface remote from the crack fronts is selected. With this feature, the theory of integration can be straightforwardly incorporated into the finite element method. In fact, it is not necessary to simulate the near-front regions with very fine FE simulations to obtain accurate solutions of Msrf.",

keywords = "M-integral, Multiple cracks, Surface crack, Surface energy, Surface-independence",

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T1 - Surface energy evaluation using a modified 3-D M-integral for multiple surface cracks

AU - Chang, J. H.

AU - Yang, J. S.

PY - 2020/12/1

Y1 - 2020/12/1

N2 - In the present paper, we develope a 3-D Msrf-integral to evaluate the surface energy that is corresponding to formation of multiple surface cracks. The Msrf-integral is formulated by modifying the conventional 3-D M-integral with deliberate origination of the coordinate system and proper delimitation of the integral surface. The integral is demonstrated to be surface-independent in a modified manner and so can be accurately evaluated provided an integration surface remote from the crack fronts is selected. With this feature, the theory of integration can be straightforwardly incorporated into the finite element method. In fact, it is not necessary to simulate the near-front regions with very fine FE simulations to obtain accurate solutions of Msrf.

AB - In the present paper, we develope a 3-D Msrf-integral to evaluate the surface energy that is corresponding to formation of multiple surface cracks. The Msrf-integral is formulated by modifying the conventional 3-D M-integral with deliberate origination of the coordinate system and proper delimitation of the integral surface. The integral is demonstrated to be surface-independent in a modified manner and so can be accurately evaluated provided an integration surface remote from the crack fronts is selected. With this feature, the theory of integration can be straightforwardly incorporated into the finite element method. In fact, it is not necessary to simulate the near-front regions with very fine FE simulations to obtain accurate solutions of Msrf.

KW - M-integral

KW - Multiple cracks

KW - Surface crack

KW - Surface energy

KW - Surface-independence

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DO - 10.1016/j.ijsolstr.2020.07.008

M3 - 期刊論文

AN - SCOPUS:85091242284

SN - 0020-7683

VL - 206

SP - 75

EP - 83

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

ER -

Surface energy evaluation using a modified 3-D M-integral for multiple surface cracks

Abstract

Keywords

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Impact Analysis of the Near-Field Cracked Region in Deep Geologic Repositories for Spent Nuclear Fuel

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