Journal ArticleDOI
A mixed variational framework for higher-order unified gradient elasticity
TLDR
In this paper, a higher-order unified gradient elasticity theory is conceived in a mixed variational framework based on suitable functional space of kinetic test fields, and the intrinsic form of the differential and boundary conditions of equilibrium along with the constitutive laws is consistently established.About:
This article is published in International Journal of Engineering Science.The article was published on 2022-01-01. It has received 51 citations till now. The article focuses on the topics: Elasticity (physics) & Elasticity (economics).read more
Citations
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A nonlocal surface theory for surface–bulk interactions and its application to mechanics of nanobeams
Yiyuan Jiang,Li Ming Li,Yujin Hu +2 more
TL;DR: In this paper , a nonlocal surface theory is proposed for interactions between surface and bulk media of nanostructures, which is generalized to account for nonlocal contribution and reception of surface, dividing the whole landscape of nonlocal interactions into four parts of contributions.
Journal ArticleDOI
TE-GDQE implementation to investigate the vibration of FG composite conical shells considering a frequency controller solid ring
TL;DR: In this paper , the free vibration response of a conical system supported by an intermediate solid ring is investigated, where the ingredients of the shell are considered a polymer reinforced with graphene platelets (GPLs).
Journal ArticleDOI
Buckling mode transition in nonlinear strain gradient-based stability behavior of axial-thermal-electrical loaded FG piezoelectric cylindrical panels at microscale
TL;DR: In this article , the micro-structural-dependent nonlinear stability characteristics of functionally graded (FG) piezoelectric cylindrical micropanels under combinations of axial mechanical load with external electric actuation and temperature are studied.
Journal ArticleDOI
Dynamic instability of magnetically embedded functionally graded porous nanobeams using the strain gradient theory
TL;DR: In this paper , a finite element modeling combined with the SGT and the refined higher-order shear deformation beam theory is developed to study the dynamic instability of magnetically embedded functionally graded porous (FGP) nanobeams.
Journal ArticleDOI
Free transverse vibrations of nanobeams with multiple cracks
TL;DR: In this article , a nonlocal model is formulated to study the size-dependent free transverse vibrations of nanobeams with arbitrary numbers of cracks, and the effect of the crack is modeled by introducing discontinuities in the slope and transverse displacement at the cracked cross-section, proportional to the bending moment and the shear force transmitted through it.
References
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Book
Nonlocal Continuum Field Theories
AC Eringen,JL Wegner +1 more
TL;DR: Memory-dependent nonlocal nonlocal Electromagnetic Elastic Solids as mentioned in this paper have been shown to be memory-dependent on nonlocal elasticity and nonlocal linear elasticity, as well as nonlocal Linear Elasticity and Nonlocal Fluid Dynamics.
Journal ArticleDOI
Second gradient of strain and surface-tension in linear elasticity
TL;DR: In this article, a linear theory of deformation of an elastic solid was formulated, in which the potential energy-density is a function of the strain and its first and second gradients.
Journal ArticleDOI
Nonlocal theories for bending, buckling and vibration of beams
J. N. Reddy,J. N. Reddy +1 more
TL;DR: In this article, the Euler-Bernoulli, Timoshenko, Reddy, and Levinson beam theories are reformulated using the nonlocal differential constitutive relations of Eringen.
Journal ArticleDOI
A phenomenological theory for strain gradient effects in plasticity
TL;DR: In this paper, a strain gradient theory of plasticity is introduced, based on the notion of statistically stored and geometrically necessary dislocations, which fits within the general framework of couple stress theory and involves a single material length scale l.