Three-Dimensional Model of a Structured Linearly Elastic Body
Source abstract
Abstract
The classical theory of elasticity implies the validity of Hooke’s law and the existence of partial spatial derivatives of displacements. A weakening of the latter assumption yields models with internal structure. Here we develop a three-dimensional elastic model with two structural levels. Microscopic elements of the medium experience local bending. Consideration is given to the contribution of the local bends to macroscopic deformation and rotation, the kinematic compatibility conditions, and the formulation of boundary value problems that ensure a unique solution.
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Research context
OpenAlex topics: Geotechnical and Geomechanical Engineering · Elasticity and Wave Propagation · Mining and Gasification Technologies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (36)
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