Results 171 to 180 of about 10,415 (208)

A basis for a theory of nonlocal elastic filtration using the equations of elasticity

Journal of Applied Mechanics and Technical Physics, 1971
The 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 quasi-static elastic dielectrics

International Journal of Engineering Science, 1972
Abstract 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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Theory of Nonlocal Elasticity and Some Applications

1984
Abstract : 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 Wave Propagation in Elastic Plates

Journal of Applied Mechanics, 1984
Propagation 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

2019
Nonlocal 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, Hashem Rafii-Tabar, Seyed Ahmad Fazelzadeh   +2 more
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Recent Developments in the Theory of Nonlocality in Elastic and Thermoelastic Mediums

2020
In 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, Parveen Lata, Satya Bir Singh   +2 more
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An asymmetric theory of nonlocal elasticity—Part 1. Quasicontinuum theory

International Journal of Solids and Structures, 1999
In 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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Linear theory of nonlocal elasticity and dispersion of plane waves

International Journal of Engineering Science, 1972
Abstract The equations of the nonlocal elasticity given in [1]and[2] are linearized. The dispersion relations are obtained for one dimensional plane waves. The nonlocal material moduli are determined to fit exactly the acoustical branch of elastic waves within one Brillouin zone in periodic one dimensional lattices.
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Analysis of flexoelectric response in nanobeams using nonlocal theory of elasticity

International Journal of Mechanics and Materials in Design, 2016
This paper is concerned with the derivation of exact solutions for the static responses of simply supported nonlocal flexoelectric nanobeams. Considering both the direct and the converse flexoelectric effects, and employing the nonlocal theory of elasticity, the governing equations and the associated boundary conditions of the beams are derived to ...
N. Sneha Rupa, M. C. Ray
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Nonlocal theory of elastic interaction between point defects

physica status solidi (b), 1978
AbstractA weakly nonlocal version of the nonlocal continuum theory is used to calculate the interaction energy between a pair of identical defects in a face‐centred cubic lattice when the defect spacing is large. The lattice is assumed to be the same that was considered by Hardy and Bullough, namely, an idealized harmonic f.c.c.
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