TY - JOUR AU - Seitenfuss, Alan B. AU - Aguiar, Adair R. AU - Pereira, Mauricio PY - 2017/02/10 Y2 - 2024/03/28 TI - NUMERICAL AND THEORETICAL STUDY OF THE PROPERTIES OF A LINEAR ELASTIC PERIDYNAMIC MATERIAL JF - Revista Interdisciplinar de Pesquisa em Engenharia JA - Rev. Interd. Pesq. Eng. VL - 2 IS - 29 SE - Artigos DO - 10.26512/ripe.v2i29.21793 UR - https://periodicos.unb.br/index.php/ripe/article/view/21793 SP - 104-114 AB - <p>The peridynamic theory is a generalization of classical continuum mechanics and&nbsp;takes into account the interaction between material points separated by a finite distance within&nbsp;a peridynamic horizon . The parameter corresponds to a length scale and is treated as&nbsp;a material property related to the microstructure of the body. This work concerns a study of&nbsp;the properties of a linear elastic peridynamic material in the context of a three-dimensional&nbsp;state-based peridynamic theory, which considers both length and relative angle changes, and&nbsp;is based upon a free energy function that contains four material constants. Using convergence&nbsp;results of the peridynamic theory to the classical linear elasticity theory in the limit of vanishing&nbsp;sequences of and a correspondence argument between the proposed free energy function and the strain energy density function from the classical theory, expressions were obtained relating&nbsp;three peridynamic constants to the classical elasticity constants of an isotropic linearly elastic&nbsp;material. To evaluate the fourth peridynamic material constant, the correspondence argument&nbsp;is used together with the deformation field of an elastic beam subjected to pure bending. This work also concerns the validation of the proposed linearly elastic peridynamic model through&nbsp;numerical simulations of mechanical problems formulated in the context of both the classical&nbsp;linear elasticity and peridynamic theories. Simulation results will be presented at the meeting.</p> ER -