Results 171 to 180 of about 5,554,646 (206)
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On some theorems in the nonlocal theory of micropolar elasticity
International Journal of Solids and Structures, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Jun, Dhaliwal, Ranjit S.
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Theory of nonlocal electromagnetic elastic solids
Journal of Mathematical Physics, 1973A continuum theory of nonlocal electromagnetic elastic solids is proposed. Nonlocal and local balance laws and jump conditions are obtained. Through the use of an extension of Clausius-Duhem inequality, encompassing nonlocal effects, E-M momentum and constitutive equations are derived and restricted.
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Twisting statics and dynamics for circular elastic nanosolids by nonlocal elasticity theory
Acta Mechanica Solida Sinica, 2011Abstract The torsional static and dynamic behaviors of circular nanosolids such as nanoshafts, nanorods and nanotubes are established based on a new nonlocal elastic stress field theory. Based on a new expression for strain energy with a nonlocal nanoscale parameter, new higher-order governing equations and the corresponding boundary conditions are ...
Cheng Li, C.W. Lim, Jilin Yu
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A basis for a theory of nonlocal elastic filtration using the equations of elasticity
Journal of Applied Mechanics and Technical Physics, 1971The proposed [1–3] nonlocal formulation of the hypothesis that the ground pressure is constant in nonstationary pressure filtration in a deep elastic stratum is derived from the equilibrium equations for the stratum-roof system. The roof is considered to be a flat plate [4] and the floor of the stratum is assumed to be rigid. An equation is established
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On the Nonlocal Theory of Wave Propagation in Elastic Plates
Journal of Applied Mechanics, 1984Propagation of longitudinal waves in isotropic homogeneous elastic plates is studied in the context of the linear theory of nonlocal continuum mechanics. To determine the nonlocal moduli, the dispersion equation obtained for the plane longitudinal waves in an infinite medium is matched with the parallel equation derived in the theory of atomic lattice ...
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Essential Concepts from Nonlocal Elasticity Theory
2019Nonlocal elasticity theory is a convenient methodology for considering the small-scale effects that are exhibited by nanoscopic structures. In recent decades, the use of nonlocal elasticity theory in mechanical modelling of these structures has seen an inflationary development.
Esmaeal Ghavanloo +2 more
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Theory of Nonlocal Elasticity and Some Applications
1984Abstract : Constitutive equations of finite nonlocal elasticity are obtained. Thermodynamic restriction are studied. The linear theory is given for anisotropic and isotropic solids. The physical and mathematical properties of the nonlocal elastic moduli are explored through lattice dynamics and dispersive wave propagations. The theory is applied to the
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On the nonlocal theory of quasi-static elastic dielectrics
International Journal of Engineering Science, 1972Abstract The nonlocal theory of polar elastic dielectrics that is in interaction with quasi-static electric field is developed, and various special cases are discussed. For the illustration of the theory, the solution of a sample problem is given.
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Recent Developments in the Theory of Nonlocality in Elastic and Thermoelastic Mediums
2020In the present chapter, the recent developments in the concept of nonlocality have been discussed. The nonlocal theory of continuum mechanics considers that the various physical quantities defined at a point are not just a function of the values of independent constitutive variables at that point only but a function of their values over the whole body.
Sukhveer Singh +2 more
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An asymmetric theory of nonlocal elasticity—Part 1. Quasicontinuum theory
International Journal of Solids and Structures, 1999In this article, an asymmetric theory of nonlocal elasticity is developed on the basis of three dimensional atomic lattice model, the Galileo invariance for constitutive equations and by use of Fourier transformation of generalized function and energy method.
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