Variable-order approach to nonlocal elasticity: theoretical formulation, order identification via deep learning, and applications
Abstract
This study presents the formulation of the variable-order continuum mechanics theory and its application to the analysis of nonlocal heterogeneous solids. The variable-order continuum theory enables a unique approach to model the response of solids exhibiting position-dependent nonlocal behavior. The formulation also guarantees frame-invariance provided that proper constraints on the functional definition of the variable-order are imposed. The...
Paper Details
Title
Variable-order approach to nonlocal elasticity: theoretical formulation, order identification via deep learning, and applications
Published Date
Sep 27, 2021
Journal
Volume
69
Issue
1
Pages
267 - 298
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