A non-linear direct peridynamics plate theory - Publication - MOST Wiedzy

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A non-linear direct peridynamics plate theory

Abstract

In this paper a direct non-local peridynamics theory for thin plates is developed. Peridynamic points are assumed to behave like rigid bodies with independent translation and finite rotation degrees of freedom. The non-local mechanical interaction between points is characterized by force and moment vectors. The balance equations including the linear momentum, the angular momentum and the energy are presented. Peridynamic deformation states of the plate are introduced including the actual bond vector (relative translation of two points within the bond) and the relative finite rotation tensor (actual relative orientation of two points in the bond). The corresponding power-conjugate bond force and bond moment states are derived. The framework to develop constitutive equations for the plate peridynamic states is addressed. Special cases of the theory including plates with zero drilling moments, membranes, soft interlayers as well as stiff plate layers with small relative rotations are considered.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
COMPOSITE STRUCTURES no. 279, pages 1 - 7,
ISSN: 0263-8223
Language:
English
Publication year:
2022
Bibliographic description:
Naumenko K., Eremeev V.: A non-linear direct peridynamics plate theory// COMPOSITE STRUCTURES -Vol. 279, (2022), s.1-7
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.compstruct.2021.114728
Verified by:
Gdańsk University of Technology

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