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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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A Nonlocal Model for Dislocations with Embedded Discontinuity Peridynamics.
Teng Zhao,Yongxing Shen +1 more
TL;DR: A novel nonlocal model of dislocations based on the framework of peridynamics embedding interior discontinuities into the nonlocal constitutive law, which overcomes unphysical dissipation in treating discontinuity and is still easy to be solved with the particle-based meshless method.
11
Photo-Thermoelasticity Heat Transfer Modeling with Fractional Differential Actuators for Stimulated Nano-Semiconductor Media
TL;DR: In this article , a non-local theoretical formulation for a thermo-optical elastic material that can be used to describe how thermomechanical waves and plasma waves relate to the symmetry of semiconductor materials such as silicon or germanium is given.
Third-order non-local beam theories for the analysis of symmetrical nanobeams
Junchuan Niu,C.W. Lim,Andrew Y. T. Leung +2 more
- 01 Oct 2009
TL;DR: In this paper, a third-order non-local beam theory based on Eringen's nonlocal continuum theory and the Reddy and Leung higher-order beam models for bending, buckling, and vibration of nanobeams is presented.
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Thermal Buckling of Multiwalled Carbon Nanotubes Using a Semi-Analytical Finite Element Approach
TL;DR: In this paper, a semi-analytical finite element approach based on the nonlocal elastic shell model is proposed to study the thermal buckling of multiwalled carbon nanotubes (MWCNTs).
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Effect of dual-phase-lag model on the vibration analysis of nonlocal generalized thermoelastic diffusive hollow sphere
TL;DR: In this article, the authors inspect the nonlocal Erigen's elasticity model for free vibrations of thermoelastic diffusive sphere in the reference of dual-phase-lag (DPL) model of generalized thermo-elasticit...
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References
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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.
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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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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.
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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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