Results 221 to 230 of about 12,586 (258)

Nonlocal Elasticity and Waves

1974
The theory of nonlocal elasticity is developed. Balance laws, jump conditions and the second law of thermodynamics are given. By means of axioms of nonlocality, objectivity and the entropy inequality, the constitutive equations are derived for nonlocal elastic solids.
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Straight disclinations in nonlocal elasticity

International Journal of Engineering Science, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Edge dislocation in nonlocal elasticity

International Journal of Engineering Science, 1977
Abstract The solution is presented for the problem of straight edge dislocation in nonlocal elasticity. The stress field and elastic energy are calculated. Classical singularities in the expressions of the stress field and stored energy are found not present in the nonlocal model. An estimate is made for the critical shear stress which will produce a
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Appropriate Boundary Conditions for Nonlocal Elastic Beams

Advanced Materials Research, 2013
This study is concerned with the boundary conditions of elastic beams within the framework of nonlocal elasticity th eory. The general solutions of the plane stress problem are, firstly, discussed. Through which and by employing the decaying analysis technique proposed by Gregory and Wan, a set of necessary conditions on the edge-d ata, other than the ...
Xu, S. P., Xu, M. R., Wang, C. M.
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Nonlocal polar elastic continua

International Journal of Engineering Science, 1972
Abstract A continuum theory of nonlocal polar bodies is developed. Both the micromorphic and the non-polar continuum theories are incorporated. The balance laws and jump conditions are given. By use of nonlocal thermodynamics and invariance under rigid motions, constitutive equations are obtained for the nonlinear micromorphic elastic solids.
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Wave propagation in fractional nonlocal elastic continua

IFAC Proceedings Volumes, 2013
In this paper, the wave propagation in one-dimensional elastic continua, characterized by nonlocal interactions, is investigated by means of a fractional calculus approach. Derivatives of a non-integer order 1 < a < 2 with respect to the spatial variable are involved in the governing equation.
SAPORA, ALBERTO GIUSEPPE, CORNETTI, PIETRO, CARPINTERI, Alberto   +2 more
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Nonlocal elasticity theory of polymeric liquid crystals

Physical Review A, 1990
We construct a nonlocal theory of elasticity for a nematic polymer composed of rigid or semiflexible molecules. We then introduce a mean-field theory for the calculation of wave-vector-dependent elastic moduli. Because the length of the molecules can be comparable to observable elastic distortions, the wave-vector dependence of the Frank moduli, i.e ...
, Lo, , Pelcovits
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Unsymmetrical elastic stamp on a nonlocal elastic half-plane

Computers & Structures, 1997
Abstract The statical problem of an elastic stamp on a nonlocal elastic half-plane is solved. The starting point is the solution of the problem of a rigid stamp on an elastic half-plane. This solution is given in the appendix. The classical solution of the elastic stamp is obtained by making appropriate changes in the classical solutions of the rigid
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Buckling of an Elastic Strut Made of a Nonlocal Material

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1985
AbstractBuckling of a slender elastic strut built‐in at one end and loaded at the other is examined from the standpoint of the non‐local theory. Using the Strength of Materials Approach, the equation for the nonlocal longitudinal stress is derived.
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Nonlocal diffusion-elasticity based on nonlocal mass transfer and nonlocal elasticity and its application in shock-induced responses analysis

Mechanics of Advanced Materials and Structures, 2021
Chenlin Li, Xiaogeng Tian
exaly