Determination of material properties of a linearly elastic peridynamic material

Autor(es)

Aguiar, Adair R. ^[1] ; Seitenfuss, Alan B. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Struct Engn EESC, Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICS AND MECHANICS OF SOLIDS; NOV 2021.
• Citações Web of Science: 0

Resumo

We investigate the properties of an isotropic linear elastic peridynamic material in the context of a three-dimensional state-based peridynamic theory, which considers both length and relative angle changes, and is based on a free energy function proposed in previous work that contains four material constants. To this end, we consider a class of equilibrium problems in mechanics to show that, in interior points of the body where deformations are smooth, the corresponding solutions in classical linear elasticity are also equilibrium solutions in peridynamics. More generally, we show that the equations of equilibrium are satisfied even when two of the four peridynamic constants are arbitrary. Pure torsion of a cylindrical shaft and pure bending of a cylindrical beam are particular cases of this class of problems and are used together with a correspondence argument proposed elsewhere to determine these two constants in terms of the elasticity constants of an isotropic material from the classical linear elasticity. One of the constants has a singularity in the Poisson ratio, which needs further investigation. Two additional experiments concerning bending of cylindrical beam by terminal load and anti-plane shear of a hollow cylinder, which do not belong to the previous class of problems, are used to validate these results. (AU)

• Processo FAPESP: 17/23669-4 - Uma contribuição ao desenvolvimento da teoria de elasticidade peridinâmica
• Beneficiário: Alan Bourscheidt Seitenfuss
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 19/00428-7 - Desenvolvimento de teoria não local em mecânica dos sólidos
• Beneficiário: Adair Roberto Aguiar
• Modalidade de apoio: Auxílio à Pesquisa - Regular