NDLI: A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment

Content Provider	Springer Nature Link
Author	Farajpour, A. Yazdi, M. R. Haeri Rastgoo, A. Mohammadi, M.
Copyright Year	2016
Abstract	In this paper, a new size-dependent plate model is developed based on the higher-order nonlocal strain gradient theory. The influences of higher-order deformations in conjunction with the higher- and lower-order nonlocal effects are taken into account. The presence of three different kinds of scale parameters in the formulation results in a theory which is capable of capturing both reduction and increase in the stiffness of structures at nanoscale. The governing differential equations are derived for the buckling of nanoplates resting on a two-parameter elastic foundation using the principle of virtual work. The nanoplate is assumed to be orthotropic with size-dependent material properties. The influence of thermal stress caused by a temperature change is taken into consideration. An exact closed-form solution is obtained for the critical buckling loads of graphene sheets. The higher-order governing differential equation is also solved by the differential quadrature method. The results of the two solution methods are compared with each other. Excellent agreement between the exact and numerical results is observed. For numerical results, three types of graphene sheets with different aspect ratio are considered. The effects of various scale parameters together with the other parameters such as the coefficients of the elastic medium, temperature change and the length of the nanoplate on the buckling behavior of graphene sheets are investigated.
Starting Page	1849
Ending Page	1867
Page Count	19
File Format	PDF
ISSN	00015970
Journal	Acta Mechanica
Volume Number	227
Issue Number	7
e-ISSN	16196937
Language	English
Publisher	Springer Vienna
Publisher Date	2016-03-25
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical and Applied Mechanics Classical Continuum Physics Continuum Mechanics and Mechanics of Materials Structural Mechanics Vibration, Dynamical Systems, Control Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Scale effects on buckling analysis of orthotropic nanoplates based on nonlocal two-variable refined plate theory

Nonlocal buckling and vibration analysis of thick rectangular nanoplates using finite strip method based on refined plate theory

Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity

Using the modified strain gradient theory to investigate the size-dependent biaxial buckling analysis of an orthotropic multi-microplate system

Buckling analysis of functionally graded microbeams based on the strain gradient theory

Vibration analysis of viscoelastic inhomogeneous nanobeams resting on a viscoelastic foundation based on nonlocal strain gradient theory incorporating surface and thermal effects

Fractional derivatives and strain gradient elasticity

A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory

Large amplitude free vibration of a shear deformable laminated composite parabolic plate with parabolically orthotropic plies

A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment

Similar Documents

Scale effects on buckling analysis of orthotropic nanoplates based on nonlocal two-variable refined plate theory

Nonlocal buckling and vibration analysis of thick rectangular nanoplates using finite strip method based on refined plate theory

Buckling of circular/annular Mindlin nanoplates via nonlocal elasticity

Using the modified strain gradient theory to investigate the size-dependent biaxial buckling analysis of an orthotropic multi-microplate system

Buckling analysis of functionally graded microbeams based on the strain gradient theory

Vibration analysis of viscoelastic inhomogeneous nanobeams resting on a viscoelastic foundation based on nonlocal strain gradient theory incorporating surface and thermal effects

Fractional derivatives and strain gradient elasticity

A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory

Large amplitude free vibration of a shear deformable laminated composite parabolic plate with parabolically orthotropic plies

A higher-order nonlocal strain gradient plate model for buckling of orthotropic nanoplates in thermal environment