IGABEM of 2D and 3D liquid inclusions

Rui Dai; Chunying Dong; Chuang Xu; Deyong Sun

doi:10.1016/j.enganabound.2021.06.027

IGABEM of 2D and 3D liquid inclusions

Rui Dai, Chunying Dong^*, Chuang Xu, Deyong Sun

^*Corresponding author for this work

School of Aerospace Engineering

Beijing Institute of Technology

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

5 Citations (Scopus)

Abstract

Randomly distributed liquid inclusions in elastic matrix exist in nature, biology, material science and other fields. In this paper, the isogeometic analysis boundary element method (IGABEM) is applied to study the mechanical properties of the elastic matrix with liquid inclusions, in which the liquid inclusion is assumed to be linearly compressible and the interface tension is neglected. Singularity subtraction technique (SST) and Tells transformation method are respectively used to solve the strongly and weakly singular integrals in two-dimensional (2D) problems, while the power series expansion method is used to carry out various singular integrals in three-dimensional (3D) problems. The oriented bounding box (OBB) is adopted to generate the randomly distributed liquid inclusions, which can be formed easily by the control points of the IGA. Numerical examples show the accuracy and effectiveness of the present method in the study of liquid inclusions.

Original language	English
Pages (from-to)	33-49
Number of pages	17
Journal	Engineering Analysis with Boundary Elements
Volume	132
DOIs	https://doi.org/10.1016/j.enganabound.2021.06.027
Publication status	Published - 1 Nov 2021

Keywords

Elastic matrix
IGABEM
Liquid inclusion
Mechanical property

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10.1016/j.enganabound.2021.06.027

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title = "IGABEM of 2D and 3D liquid inclusions",

abstract = "Randomly distributed liquid inclusions in elastic matrix exist in nature, biology, material science and other fields. In this paper, the isogeometic analysis boundary element method (IGABEM) is applied to study the mechanical properties of the elastic matrix with liquid inclusions, in which the liquid inclusion is assumed to be linearly compressible and the interface tension is neglected. Singularity subtraction technique (SST) and Tells transformation method are respectively used to solve the strongly and weakly singular integrals in two-dimensional (2D) problems, while the power series expansion method is used to carry out various singular integrals in three-dimensional (3D) problems. The oriented bounding box (OBB) is adopted to generate the randomly distributed liquid inclusions, which can be formed easily by the control points of the IGA. Numerical examples show the accuracy and effectiveness of the present method in the study of liquid inclusions.",

keywords = "Elastic matrix, IGABEM, Liquid inclusion, Mechanical property",

author = "Rui Dai and Chunying Dong and Chuang Xu and Deyong Sun",

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T1 - IGABEM of 2D and 3D liquid inclusions

AU - Dai, Rui

AU - Dong, Chunying

AU - Xu, Chuang

AU - Sun, Deyong

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Y1 - 2021/11/1

N2 - Randomly distributed liquid inclusions in elastic matrix exist in nature, biology, material science and other fields. In this paper, the isogeometic analysis boundary element method (IGABEM) is applied to study the mechanical properties of the elastic matrix with liquid inclusions, in which the liquid inclusion is assumed to be linearly compressible and the interface tension is neglected. Singularity subtraction technique (SST) and Tells transformation method are respectively used to solve the strongly and weakly singular integrals in two-dimensional (2D) problems, while the power series expansion method is used to carry out various singular integrals in three-dimensional (3D) problems. The oriented bounding box (OBB) is adopted to generate the randomly distributed liquid inclusions, which can be formed easily by the control points of the IGA. Numerical examples show the accuracy and effectiveness of the present method in the study of liquid inclusions.

AB - Randomly distributed liquid inclusions in elastic matrix exist in nature, biology, material science and other fields. In this paper, the isogeometic analysis boundary element method (IGABEM) is applied to study the mechanical properties of the elastic matrix with liquid inclusions, in which the liquid inclusion is assumed to be linearly compressible and the interface tension is neglected. Singularity subtraction technique (SST) and Tells transformation method are respectively used to solve the strongly and weakly singular integrals in two-dimensional (2D) problems, while the power series expansion method is used to carry out various singular integrals in three-dimensional (3D) problems. The oriented bounding box (OBB) is adopted to generate the randomly distributed liquid inclusions, which can be formed easily by the control points of the IGA. Numerical examples show the accuracy and effectiveness of the present method in the study of liquid inclusions.

KW - Elastic matrix

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KW - Liquid inclusion

KW - Mechanical property

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VL - 132

SP - 33

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JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

ER -

IGABEM of 2D and 3D liquid inclusions

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Keywords

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