Open Access

ARTICLE

Resolving Domain Integral Issues in Isogeometric Boundary Element Methods via Radial Integration: A Study of Thermoelastic Analysis

Shige Wang¹, Zhongwang Wang¹, Leilei Chen¹, Haojie Lian^2,3,*, Xuan Peng⁴, Haibo Chen⁵

1 College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, China
2 Key Laboratory of In-situ Property-improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, China
3 Institute for Computational Engineering, Faculty of Science, Technology and Communication, University of Luxembourg, Esch-sur-Alzette, Luxembourg
4 Department of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China
5 CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230026, China

* Corresponding Author: Haojie Lian. Email:

(This article belongs to the Special Issue: Recent Developments of Isogeometric Analysis and its Applications in Structural Optimization)

Computer Modeling in Engineering & Sciences 2020, 124(2), 585-604. https://doi.org/10.32604/cmes.2020.09904

Received 26 January 2019; Accepted 27 April 2020; Issue published 20 July 2020

Abstract

The paper applied the isogeometric boundary element method (IGABEM) to thermoelastic problems. The Non-Uniform Rational B-splines (NURBS) used to construct geometric models are employed to discretize the boundary integral formulation of the governing equation. Due to the existence of thermal stress, the domain integral term appears in the boundary integral equation. We resolve this problem by incorporating radial integration method into IGABEM which converts the domain integral to the boundary integral. In this way, IGABEM can maintain its advantages in dimensionality reduction and more importantly, seamless integration of CAD and numerical analysis based on boundary representation. The algorithm is verified by numerical examples.

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