Results 21 to 30 of about 6,336 (161)

Extension the Noether's theorem to Lagrangian formulation with nonlocality

, 2012
A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C., Edelen DGB., Eringen AC., Goldstein H   +3 more
core   +1 more source

Size-Dependent Free Vibrations of FG Polymer Composite Curved Nanobeams Reinforced with Graphene Nanoplatelets Resting on Pasternak Foundations

Applied Sciences, 2019
This paper presents a free vibration analysis of functionally graded (FG) polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on a Pasternak foundation.
Mohammad Arefi, Elyas Mohammad-Rezaei Bidgoli, Rossana Dimitri, Francesco Tornabene, J. N. Reddy   +4 more
doaj   +1 more source

The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials

, 2011
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity.
A Erkip, Adams R A, Andreu-Vaillo F, Constantin A, Duruk N, Eringen A C, H A Erbay, Kunin I A, Ladas G E, Levine H A, Ogden R W, Rogula D, Runst T, S Erbay, Taylor M E   +14 more
core   +1 more source

Spatial dispersion of elastic waves in a bar characterized by tempered nonlocal elasticity

, 2016
We apply the framework of tempered fractional calculus to investigate the spatial dispersion of elastic waves in a one-dimensional elastic bar characterized by range-dependent nonlocal interactions.
Holm, Sverre, Näsholm, Sven Peter, Pandey, Vikash   +2 more
core   +1 more source

Point force in a plane in the context of fractional nonlocal elasticity

Archives of Mechanics
Solutions to the point load problems for elastic solids have different applications in geomechanics, contact mechanics, tribology as well as in modeling of lattice defects in crystals.
Y. Povstenko, T. Kyrylych, A. Yatsko
doaj   +1 more source

Two Dimensional Nonlocal Elasticity Analysis by Local Integral Equation Method

Computer Modeling in Engineering & Sciences, 2013
In this paper, a Local Integral Equation Method (LIEM) is presented for solving two-dimensional nonlocal elasticity problems . The approach is based on the Eringen’s model with LIEM and the interpolation using the radial basis functions to obtain the numerical solutions for 2D problems.
Wen, P. H., Huang, X. J., Aliabadi, M. H.   +2 more
openaire   +1 more source

Nonlocal fracture analysis of fiber reinforced composites under heat flux loading

Case Studies in Thermal Engineering
This work aims to explore the fracture characteristics of fiber reinforced composites under heat flux loadings in the framework of Eringen's nonlocal elasticity.
Kunyang Cao, Ruchao Gao, Wenzhi Yang, Zhijun Liu, Zengtao Chen   +4 more
doaj   +1 more source

Soft random solids and their heterogeneous elasticity [PDF]

, 2009
Spatial heterogeneity in the elastic properties of soft random solids is examined via vulcanization theory. The spatial heterogeneity in the \emph{structure} of soft random solids is a result of the fluctuations locked-in at their synthesis, which also ...
Annette Zippelius, D. Stauffer, L. R. G. Treloar, M. Doi, M. Mézard, M. Warner, P. de Gennes, P. Erdős, P. Erdős, P. Erdős, P. Erdős, Paul M. Goldbart, R. Stratonovich, Xiangjun Xing, Xiaoming Mao   +14 more
core   +4 more sources

Numerical Exploration of Thermal Shock Resistance in MgO–C Refractories

Advanced Engineering Materials, EarlyView.
A mesostructure‐resolved numerical framework is developed to evaluate the thermal shock resistance of MgO–C refractories. By modeling interface debonding under rapid temperature changes and introducing a modified thermal shock parameter that accounts for mesocracks, the study shows how graphite content and aggregate size influence thermal shock ...
Jishnu Vinayak Gopi, Stephan Roth, Christos G. Aneziris, Bjoern Kiefer   +3 more
wiley   +1 more source

Fractional Generalizations of Gradient Mechanics

, 2018
This short chapter provides a fractional generalization of gradient mechanics, an approach (originally advanced by the author in the mid 80s) that has gained world-wide attention in the last decades due to its capability of modeling pattern forming ...
Aifantis, E. C.
core   +1 more source