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• W2897708933 abstract "In this paper, we derive the dual-support smoothed particle hydrodynamics (DS-SPH) in solid in the framework of variational principle. The tangent stiffness matrix of SPH is obtained with ease, which can be served as the basis for implicit SPH. We propose a hourglass energy functional, which allows the direct derivation of hourglass force and hourglass tangent stiffness matrix. The dual-support is identified in all derivation based on variational principles and is automatically satisfied in the assembling of stiffness matrix. The implementation of stiffness matrix comprises with two steps, the nodal assembly based on deformation gradient and global assembly. Several numerical examples are presented to validate the method." @default.
• W2897708933 created "2018-10-26" @default.
• W2897708933 creator A5063981203 @default.
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• W2897708933 date "2018-10-14" @default.
• W2897708933 modified "2023-10-14" @default.
• W2897708933 title "Dual-support smoothed particle hydrodynamics in solid: variational principle and implicit formulation" @default.
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• W2897708933 doi "https://doi.org/10.48550/arxiv.1810.06010" @default.
• W2897708933 hasPublicationYear "2018" @default.
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