On the invariance of governing equations of current nonlocal theories of elasticity under coordinate transformation and displacement gauge change

DOI10.1007/s10659-018-09715-7zbMath1427.74025OpenAlexW2917088367WikidataQ128347692 ScholiaQ128347692MaRDI QIDQ2010715

Linjuan Wang, Jian-Xiang Wang

Publication date: 27 November 2019

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-018-09715-7

zbMATH Keywords

peridynamicstransformation methodelastic wave cloakingnonlocal continuum theories

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Polar materials (74A35) Linear integral equations (45A05) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

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Cites Work

• Unnamed Item
• Elastic media with microstructure. I: One-dimensional models. (Transl. from the Russian)
• Linearized theory of peridynamic states
• On the role of gradients in the localization of deformation and fracture
• Reformulation of elasticity theory for discontinuities and long-range forces
• A one-dimensional peridynamic model of defect propagation and its relation to certain other continuum models
• Elastic cloaking theory
• Elasticity theory of materials with long range cohesive forces
• Micro-structure in linear elasticity
• Controlling Electromagnetic Fields
• Peridynamics as an Upscaling of Molecular Dynamics
• Acoustic cloaking theory
• Hyperelastic cloaking theory: transformation elasticity with pre-stressed solids
• On modifications of Newton's second law and linear continuum elastodynamics