Analytical solution approach for nonlinear buckling and postbuckling analysis of cylindrical nanoshells based on surface elasticity theory

Ansari, R.; Pourashraf, T.; Gholami, R.; Rouhi, H.

doi:10.1007/s10483-016-2100-9

Cited by 20 publications

(7 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The accepted higher order theories employed to analyze the size scaling in microstructures are mainly micropolar theory [106], surface elastic theory [107], couple stress theory [108], strain gradient theory [109], nonlocal theory [110] and hybrid model like nonlocal strain gradient theory [111].…”

Section: Introductionmentioning

confidence: 99%

Impacts of Length Scale Parameter on Material Dependent Thermoelastic Damping in Micro/nanoplates Applying Modified Coupled Stress Theory

Resmi

BABU

BAIJU

2022

mech

View full text Add to dashboard Cite

Among the different energy dissipation mechanisms, thermoelastic damping plays a vital role and need tobe alleviated in resonators inorder to enhance its performance parameters by improving its thermoelastic dampinglimited qualityfactor, QTED. The maximum energy dissipation is also interrelated with critical length (???????? ) of theplates and by optimizing the dimensions the peaking of energy dissipation can be diminished. As the size of thedevices is scaled down, classical continuum theories are not able to explain the size effect related mechanicalbehavior at micron or submicron levels and as a result non-classical continuum theories are pioneered with theinception of internal length scale parameters. In this paper, analysis of isotropic rectangular micro-plates based onKirchhoff model applying Modified Coupled Stress Theory is used toanalyzethe size-dependent thermoelasticdamping and its impact on quality factor and critical dimensions.Hamilton principle is adapted to derive thegoverning equations of motion and the coupled heat conduction equation is employed to formulate the thermoelasticdamping limited quality factor of the plates. Five different structural materials (PolySi, Diamond,Si, GaAs andSiC)are used for optimizing QTED which depends on the materialperformance index parameters. ThermoelasticDamping Index [TDI] and thermal diffusion length, lT. According to this work, the maximum QTED is attained forPolySi with the lowest TDI and Lcmax is obtained for SiC which is having the lowest lT. The impact of lengthscaleparameters (l), vibration modes, boundary conditions (Clamped–Clamped and Simply Supported), and operatingtemperatures on QTED and Lcare also investigated. It is concluded that QTED is further maximized by selecting lowtemperatures and higher internal length scale parameters (l).The prior knowledge of QTED and Lchelp the designers tocome out with high performance low loss resonators.

show abstract

Section: Introductionmentioning

confidence: 99%

Impacts of Length Scale Parameter on Material Dependent Thermoelastic Damping in Micro/nanoplates Applying Modified Coupled Stress Theory

Resmi

BABU

BAIJU

2022

mech

View full text Add to dashboard Cite

show abstract

“…Singh and Yadava [23] investigated the influence of geometric nonlinear high-order terms caused by neutral axis shift on microcantilever response, and revealed that the influence of higher order deformation terms on the system response should be considered in the case of relative large deformation. Based on the classical Donnell's shell theory and von Karman's hypothesis, Ansari et al [24] discussed the surface stress effect on the static nonlinear buckling and postbuckling behaviors of nanoshells, and illustrated the influence of the surface residual tension and radius-to-thickness ratio. Zhang et al [17] thoroughly compared the differences of static deflection predicted by three different equivalent surface stress models.…”

Section: Introductionmentioning

confidence: 99%

Clamped-end effect on static detection signals of DNA-microcantilever

Zhang

2021

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

Boundary constraint induced inhomogeneous effects are important for mechanical responses of nano/micro-devices. For microcantilever sensors, the clamped-end constraint induced inhomogeneous effect of static deformation, so called the clamped-end effect, has great influence on the detection signals. This paper is devoted to developing an alternative mechanical model to characterize the clamped-end effect on the static detection signals of the DNA-microcantilever. Different from the previous concentrated load models, the DNA adsorption is taken as an equivalent uniformly distributed tangential load on the substrate upper surface, which exactly satisfies the zero force boundary condition at the free-end. Thereout, a variable coefficient differential governing equation describing the non-uniform deformation of the DNA-microcantilever induced by the clamped-end constraint is established by using the principle of minimum potential energy. By reducing the order of the governing equation, the analytical solutions of the curvature distribution and static bending deflection are obtained. By comparing with the previous approximate surface stress models, the clamped-end effect on the static deflection signals is discussed, and the importance of the neutral axis shift effect is also illustrated for the asymmetric laminated microcantilever.

show abstract

“…Therefore, researchers have recently begun to use continuum theories which take the effect of material length scale (MLS) parameter into consideration. Those theories include non-local elasticity theory [1][2][3][4][5][6][7][8], couple stress theory [9][10][11][12][13][14][15][16][17][18], strain gradient theory [19][20][21][22], and surface stress theory [23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Size-dependent vibration of sandwich cylindrical nanoshells with functionally graded material based on the couple stress theory

Zeighampour

Shojaeian

2017

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

Vibration of functionally graded sandwich (FGS) cylindrical nanoshell is investigated. For this purpose, the first shear deformable shell theory as well as material length scale parameter as considered by the couple stress theory is used, and Hamilton's principle is employed to derive the equations of motion of the FGS cylindrical nanoshell and the boundary conditions. In the end, using Navier solution, the natural frequency is determined for three types of FGS cylindrical nanoshells. Results of the new model are compared with the classical theory. According to the results, the rigidity of the FGS cylindrical nanoshell in the couple stress theory is higher than that in the classical theory, which leads to increased natural frequency. Besides, the effect of the material length scale parameter on natural frequency of the FGS cylindrical nanoshell in different wavenumbers and lengths is considerable.

show abstract

Analytical solution approach for nonlinear buckling and postbuckling analysis of cylindrical nanoshells based on surface elasticity theory

Cited by 20 publications

References 33 publications

Impacts of Length Scale Parameter on Material Dependent Thermoelastic Damping in Micro/nanoplates Applying Modified Coupled Stress Theory

Impacts of Length Scale Parameter on Material Dependent Thermoelastic Damping in Micro/nanoplates Applying Modified Coupled Stress Theory

Clamped-end effect on static detection signals of DNA-microcantilever

Size-dependent vibration of sandwich cylindrical nanoshells with functionally graded material based on the couple stress theory

Contact Info

Product

Resources

About