A review of continuum mechanics models for size-dependent analysis of beams and plates
This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …
models for capturing size effects in small-scale structures. The review mainly focus on the …
On the advances of computational nonclassical continuum theories of elasticity for bending analyses of small-sized plate-based structures: a review
Nonclassical continuum theories of elasticity (NCTE) have been extensively used in the
mechanical analyses of small-sized structures due to their effective and tremendous ability …
mechanical analyses of small-sized structures due to their effective and tremendous ability …
[HTML][HTML] Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory
Nonlinear plate bending within Mindlin's strain gradient elasticity theory (SGT) is
investigated by employing somewhat non-standard finite element methods. The main goal is …
investigated by employing somewhat non-standard finite element methods. The main goal is …
Isogeometric analysis of shear-deformable, in-plane functionally graded microshells by Mindlin's strain gradient theory
This paper proposes a general strain-gradient and shear-deformable isogeometric
microshell formulation based on the complete Mindlin's form II strain gradient theory (SGT) …
microshell formulation based on the complete Mindlin's form II strain gradient theory (SGT) …
A C1 continuous hexahedral element for nonlinear vibration analysis of nano-plates with circular cutout based on 3D strain gradient theory
The main objective of the present study is to develop a hexahedral C 1 continuous element
for the three-dimensional nonlinear free vibration analysis of rectangular nano-plates with …
for the three-dimensional nonlinear free vibration analysis of rectangular nano-plates with …
Application of a non-conforming tetrahedral element in the context of the three-dimensional strain gradient elasticity
In the size-dependent continuum theories such as the strain gradient theory, the higher-
order derivatives of displacement field appear in the energy functional of the structure which …
order derivatives of displacement field appear in the energy functional of the structure which …
A nonclassical finite element approach for the nonlinear analysis of micropolar plates
R Ansari, AH Shakouri… - Journal of …, 2017 - asmedigitalcollection.asme.org
Based on the micropolar elasticity theory, a size-dependent rectangular element is proposed
in this article to investigate the nonlinear mechanical behavior of plates. To this end, a novel …
in this article to investigate the nonlinear mechanical behavior of plates. To this end, a novel …
8‐node hexahedral unsymmetric element with rotation degrees of freedom for modified couple stress elasticity
Summary A new C 0 8‐node 48‐DOF hexahedral element is developed for analysis of size‐
dependent problems in the context of the modified couple stress theory by extending the …
dependent problems in the context of the modified couple stress theory by extending the …
Resonance responses of geometrically imperfect functionally graded extensible microbeams
MH Ghayesh, H Farokhi… - Journal of …, 2017 - asmedigitalcollection.asme.org
This paper aims at analyzing the size-dependent nonlinear dynamical behavior of a
geometrically imperfect microbeam made of a functionally graded (FG) material, taking into …
geometrically imperfect microbeam made of a functionally graded (FG) material, taking into …
Second strain gradient finite element analysis of vibratory nanostructures based on the three-dimensional elasticity theory
By introducing the C^ 2 C 2 continuous hexahedral element, the free vibration finite element
analysis of the nanobeam and nanoplate structures is reported based on the second strain …
analysis of the nanobeam and nanoplate structures is reported based on the second strain …