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Strong-form meshfree collocation method for multibody thermomechanical contact

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Abstract

This study presents a strong form-based meshfree point collocation method for thermomechanical contact between two deformable bodies. The proposed method, based on Taylor approximation and the method of moving least squares, is implemented in a staggered Newton–Raphson framework to directly discretize and solve the governing nonlinear system of partial differential equations. Following the formulation of the proposed method and the discretization of the governing equations, four numerical examples are presented to verify the computational framework described. The first two examples, involving frictional contact along an inclined surface and Hertzian contact between two half-cylinders, verify the method’s ability to simulate two-body mechanical contact. The next two examples, involving coupled mechanical and thermal contact between rectangular blocks for two loading conditions, verify the ability of the method to simulate thermomechanical contact.

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  1. Department of Civil, Environmental and Architectural Engineering, University of Colorado, Boulder, CO, 80309, USA

    Andrew Beel & Jeong-Hoon Song

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  1. Andrew Beel
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  2. Jeong-Hoon Song
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Correspondence to Jeong-Hoon Song.

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Beel, A., Song, JH. Strong-form meshfree collocation method for multibody thermomechanical contact. Engineering with Computers 39, 89–108 (2023). https://doi.org/10.1007/s00366-021-01513-5

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