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← Back to SCIENTIFIC JOURNAL OF IFToMM “PROBLEMS OF MECHANICS” № 2(55), 2014

MESH FREE MODELS OF CONTINUUM IN NONLINEAR HAMILTON BIOMECHANICAL SYSTEM

Authors: A.I. Nadareyshvili, V.A. Petushkov, G. J. Sakhvadze


Abstract:

New solid mechanics solver targeting image-based biomedical analysis is proposed herein. The method combines the salient features of the meshfree-Galerkin methods and discrete gradient methods. Symplectic operator has been utilized to time integrate problem, which stabilizes and converges a numerical solution of a priori conservative Hamiltonian system.

Keywords: Point-cloud method; image-based analysis; moving least square approximation Hamiltonian system; symplectic integration.

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