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Nonlocal Continuum Field Theories
AC Eringen,JL Wegner +1 more
- 01 Jan 2002
2.6K
TL;DR: Memory-dependent nonlocal nonlocal Electromagnetic Elastic Solids as mentioned in this paper have been shown to be memory-dependent on nonlocal elasticity and nonlocal linear elasticity, as well as nonlocal Linear Elasticity and Nonlocal Fluid Dynamics.
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Abstract: 1. Motion and Deformation.- 2. Stress.- 3. Constitutive Axioms.- 4. Nonlocal Electromagnetic Theory.- 5. Constitutive Equations of Memory-Dependent Nonlocal Electromagnetic Elastic Solids.- 6. Nonlocal Linear Elasticity.- 7. Nonlocal Fluid Dynamics.- 8. Nonlocal Linear Electromagnetic Theory.- 9. Memory-Dependent Nonlocal Thermoelastic Solids.- 10. Memory-Dependent Nonlocal Fluids.- 11. Memory-Dependent Nonlocal Electromagnetic Elastic Solids.- 12. Memory-Dependent Nonlocal Electromagnetic Thermofluids.- 13. Nonlocal Microcontinua.- 14. Memory-Dependent Nonlocal Micropolar Electromagnetic Elastic Solids.- 15. Nonlocal Continuum Theory of Liquid Crystals.
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Citations
The gauge theory of dislocations: A nonuniformly moving screw dislocation
Markus Lazar,Markus Lazar +1 more
TL;DR: In this article, the nonuniform motion of a straight screw dislocation in infinite media was investigated in the framework of the translational gauge theory of dislocations, and the equations of motion were derived for an arbitrarily moving screw dislocations.
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Nonlinear vibration analysis of an embedded multi-walled carbon nanotube
Chih Ping Wu,Yan Hong Chen,Zong Li Hong,Chia Hao Lin +3 more
- 01 Jun 2018
TL;DR: Based on the Reissner mixed variational theorem (RMVT), this article presented a nonlocal Timoshenko beam theory (TBT) for the nonlinear free vibration analysis of multi-walled carbon nanotubes (MWCNT) embedded in an elastic medium.
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Nonlinear free vibration of piezoelectric cylindrical nanoshells
TL;DR: In this article, the nonlinear vibration characteristics of the piezoelectric circular cylindrical nanoshells resting on a viscoelastic foundation are analyzed, and the small scale effect and thermo-electro-mechanical loading are taken into account.
13
Nonlocal elasticity of Klein–Gordon type: Fundamentals and wave propagation
Markus Lazar,Eleni Agiasofitou +1 more
TL;DR: In this paper , a nonlocal elasticity theory with nonlocality in space and time is developed by considering nonlocal constitutive equations with a dynamical scalar nonlocal kernel function.
13
Wedge disclination in the field theory of elastoplasticity
TL;DR: In this paper, a modified stress function for the wedge disclination was proposed, and exact analytical solutions for all characteristic fields of the straight wedge disclinations in a cylinder were found.
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References
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.
4.4K
Nonlocal polar elastic continua
TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
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Linear theory of nonlocal elasticity and dispersion of plane waves
TL;DR: In this article, the dispersion relations for one dimensional plane waves were obtained by fitting the nonlocal material moduli to exactly the acoustical branch of elastic waves within one Brillouin zone in periodic one dimensional lattices.
1.2K
Quantitative size-factors for metallic solid solutions
TL;DR: In this article, the volume size factor, its linear derivative and a parameter expressing the deviation from Vegard's law were calculated for 469 substitutional solid solutions using precision lattice parameter data available in the literature.
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Theory of nonlocal thermoelasticity
TL;DR: In this paper, a set of constitutive equations for nonlocal thermoelastic solids is developed by means of the nonlocal thermodynamics and the axiom of objectivity.
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