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Non-Linear Elastic Deformations
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In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.Abstract:
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Citations
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Nonlinear Euler buckling
TL;DR: In this paper, the buckling of cylindrical tubes under compressive axial load is considered within the framework of nonlinear elasticity, and analytical and numerical methods for bifurcation are developed using the exact solution of Wilkes for the linearized problem within the Stroh formalism.
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Biomechanical modelling of normal pressure hydrocephalus.
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Buckling condensation in constrained growth
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TL;DR: In this article, the deformation of an elastic ring enclosing a core of different stiffness was studied and two possible descriptions of the volume variation process were proposed: either by imposing a homogeneous volumetric strain (biological growth) or through migration of solvent molecules inside a solid network (swelling).
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Mechanically tunable phononic band gaps in three-dimensional periodic elastomeric structures
Lifeng Wang,Katia Bertoldi +1 more
TL;DR: In this article, the authors demonstrate the ability to tune the phononic band gaps of 3D periodic elastomeric structures using deformation and show that the transformation of the band gaps is reversible and repeatable.
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An atomic interaction-based continuum model for adhesive contact mechanics
Roger A. Sauer,Shaofan Li +1 more
TL;DR: In this article, a micro/nano-scale computational contact mechanics model is proposed to study the adhesive contact between deformable bodies, where an interatomic interaction potential is incorporated into the framework of nonlinear continuum mechanics.
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