A new modified higher-order shear deformation theory for nonlinear analysis of macro- and nano-annular sector plates using the extended Kantorovich method in conjunction with SAPM

Dastjerdi, Shahriar; Abbasi, Mohammad Javad; Yazdanparast, Leila

doi:10.1007/s00707-017-1872-x

Cited by 20 publications

(2 citation statements)

References 64 publications

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“…The free vibration responses have been presented in terms of the material length scale, nonlocal parameter, FG power index, circumferential wave numbers and length of shell. Dastjerdi et al [7] studied application of higher-order shear deformation theory to nonlinear local and nonlocal analysis of an annular sector plate based on the two-dimensional analysis. The nonlinearity was accounted based on von Karman relations.…”

Section: Introductionmentioning

confidence: 99%

Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

Arefi

Cívalek

2020

Archiv.Civ.Mech.Eng

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The aim of this present work is to study the higher-order modelling of a cylindrical nano-shell resting on Pasternak's foundation based on nonlocal elasticity theory. Third-order shear deformation theory is developed for modelling the kinematic relations, and nonlocal elasticity theory is developed for size-dependent analysis. The principle of virtual work is applied to derive static governing equations. The solution is presented for simply supported boundary conditions in terms of various important parameters. The numerical results including lower-and higher-order longitudinal and radial displacements are presented in terms of nonlocal parameter, two parameters of Pasternak's foundation and some dimensionless geometric parameters such as length-to-radius ratio and length-to-thickness ratio.

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Section: Introductionmentioning

confidence: 99%

Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

Arefi

Cívalek

2020

Archiv.Civ.Mech.Eng

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“…(1), of the Eringen's nonlocal model to the bending of nanobeams, Eq. (1) was applied to a host of problems of nanomechanics including those pertaining to the bending, stability and vibration of the structural elements (rods, plates and shells) , among which the circular nanoplates were taken a special interest by researchers and engineers [32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Exact nonlocal solutions of circular nanoplates subjected to uniformly distributed loads and nonlocal concentrated forces

Yükseler

2019

J Braz. Soc. Mech. Sci. Eng.

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The nonlocal solutions of the bending problem of the circular elastic nanoplates subjected to uniformly distributed loads by using the Eringen's nonlocal theory are approximate. Seeking for an exact solution of the concerning problem by adding a concentrated force; a specific concentrated force which depends on the nonlocal parameter and, therefore, vanishes in the local case, is obtained. In this context; starting from the local bending solution of the simply supported circular nanoplates under uniformly distributed loads and evolving the solution step by step, exact nonlocal solutions of the bending problem of the simply supported and clamped circular nanoplates subjected to uniformly distributed loads and the concerning nonlocal concentrated forces acting at the centers of the circular nanoplates are obtained with the expectation that the exact nonlocal solution is not very different than the corresponding exact local solution. The closed-form solutions are checked to satisfy exactly the equations of equilibrium, constitutive equations and the boundary conditions of the relevant nonlocal problem. The application of the concerning specific concentrated force, in addition to the uniformly distributed load, is seen to make the radial bending moments for the simply supported circular nanoplate and the deflections for the clamped circular nanoplate free from the effects of the nonlocality.

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Nonlinear bending of FG skew sandwich plates with temperature-dependent elastoplastic properties using an enhanced 3D meshless approach

Vaghefi

2022

Acta Mech

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A new modified higher-order shear deformation theory for nonlinear analysis of macro- and nano-annular sector plates using the extended Kantorovich method in conjunction with SAPM

Cited by 20 publications

References 64 publications

Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

Static analysis of functionally graded composite shells on elastic foundations with nonlocal elasticity theory

Exact nonlocal solutions of circular nanoplates subjected to uniformly distributed loads and nonlocal concentrated forces

Nonlinear bending of FG skew sandwich plates with temperature-dependent elastoplastic properties using an enhanced 3D meshless approach

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