Results 211 to 220 of about 12,586 (258)

Finite Scale Microstructures in Nonlocal Elasticity

2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ren, Xiaofeng, Truskinovsky, Lev
openaire   +1 more source

Theory of Nonlocal Elasticity

2013
Continuum theories describe a system in terms of few variables such as mass, temperature, voltage, and stress, which are highly suited for direct measurements of these variables. Their successes, expediency, and practicality, have been demonstrated and tested throughout the history of science through explaining and predicting diverse physical phenomena.
Srinivasan Gopalakrishnan, Saggam Narendar   +1 more
openaire   +1 more source

Large elastic deflections of bars based on nonlocal elasticity

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2020
AbstractIn this study, large elastic deflections of beams have been investigated using the theory of nonlocal elasticity. Fundamental equations have been derived for large elastic deflections and small strains in the frame of nonlocal elasticity and the solution has been made by the perturbation method.
Güçlü, Gökhan, Artan, Reha
openaire   +2 more sources

Point Defect in a Nonlocal Elastic Medium

Journal of Mathematical Sciences, 2001
A nonlinear elastic body is studied in the framework of the model proposed by \textit{A.C.~Eringen} [Int. J. Engin. Sci. 10, No.~5, 425--435 (1972; Zbl 0241.73005)]. Besides the nonlinear Hooke law is replaced by the integral correlation \[ t(x) = \int\limits_V \alpha(| x'-x| ,\tau)\sigma(x')\,dv(x'), \] where \(\sigma(\cdot)\) is a linear strain ...
openaire   +2 more sources

Conservation laws in nonlocal elasticity

Acta Mechanica, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vukobrat, M., Kuzmanović, D.
openaire   +1 more source

A nonhomogeneous nonlocal elasticity model

European Journal of Mechanics - A/Solids, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Polizzotto, C., Fuschi, P., Pisano, A. A.   +2 more
openaire   +1 more source

Buckling and nonlocal elasticity of charged membranes

Physical Review E, 2001
The elastic behavior of an interacting, and, in specific, of a charged flexible membrane is considered. In the first part of this paper the effective nonlocal elastic energy of a membrane due to a pairwise and arbitrary intra-membrane interaction is derived.
openaire   +3 more sources

Lattice-Based Nonlocal Elastic Structural Models

2021
This chapter is devoted to lattice-based nonlocal approaches in relation with elastic microstructured elements. Nonlocal continuous approaches are shown to be relevant for capturing length scale effects in discrete structural mechanics models. The chapter contains three complementary parts.
Challamel, Noël, Wang, Chien Ming, Zhang, Hong, Elishakoff, Isaac   +3 more
openaire   +3 more sources

Nonlocal Elastic-Damage Models

2014
A theory of nonlocal isotropic damage for elastic quasi-brittle materials is presented under the assumption of isothermal conditions and small deformations. Key ingredients of this theory are a self-adjoint (regularization) operator which transforms a local field into a related nonlocal one while preserves uniform fields and a free energy which depends
Polizzotto, C, BORINO, Guido
openaire   +1 more source

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, 2019
The instantaneous change of concentration in the rapid charging of Li-ions batteries can result in the Li-ions diffusion and diffusion-induced stresses.
Chenlin Li, Huili Guo, Xiaogeng Tian, Tianhu He   +3 more
openaire   +1 more source