scholarly journals Some basic contact problems in couple stress elasticity

2014 ◽  
Vol 51 (11-12) ◽  
pp. 2084-2095 ◽  
Author(s):  
Th. Zisis ◽  
P.A. Gourgiotis ◽  
K.P. Baxevanakis ◽  
H.G. Georgiadis
Keyword(s):  
Couple Stress ◽  
Contact Problems ◽  
Couple Stress Elasticity

Solvability and Asymptotics of Solutions of Crack-Type Boundary-Contact Problems of the Couple-Stress Elasticity

2003 ◽  
Vol 10 (3) ◽  
pp. 427-465
Author(s):  
O. Chkadua
Keyword(s):  
Couple Stress ◽  
Contact Problems ◽  
Crack Edge ◽  
Open Crack ◽  
Asymptotics Of Solutions ◽  
Couple Stress Elasticity ◽  
Transversally Isotropic ◽  
Type Boundary ◽  
Boundary Contact ◽  
Asymptotic Expansion Of Solutions

Abstract Spatial boundary value problems of statics of couple-stress elasticity for anisotropic homogeneous media (with contact on a part of the boundary) with an open crack are studied supposing that one medium has a smooth boundary and the other one has an open crack. Using the method of the potential theory and the theory of pseudodifferential equations on manifolds with boundary, the existence and uniqueness theorems are proved in Besov and Bessel-potential spaces. The smoothness and a complete asymptotics of solutions near the contact boundaries and near crack edge are studied. Properties of exponents of the first terms of the asymptotic expansion of solutions are established. Classes of isotropic, transversally-isotropic and anisotropic bodies are found, where oscillation vanishes.

Size effects in two-dimensional layered materials modeled by couple stress elasticity

2021 ◽  
Author(s):  
Wipavee Wongviboonsin ◽  
Panos A. Gourgiotis ◽  
Chung Nguyen Van ◽  
Suchart Limkatanyu ◽  
Jaroon Rungamornrat
Keyword(s):  
Size Effects ◽  
Couple Stress ◽  
Layered Materials ◽  
Two Dimensional ◽  
Couple Stress Elasticity

scholarly journals A Modified Couple Stress Elasticity for Non-Uniform Composite Laminated Beams Based on the Ritz Formulation

Molecules ◽  
2020 ◽  
Vol 25 (6) ◽  
pp. 1404 ◽  
Author(s):  
Farajollah Zare Jouneghani ◽  
Hamidraza Babamoradi ◽  
Rossana Dimitri ◽  
Francesco Tornabene
Keyword(s):  
Boundary Conditions ◽  
Couple Stress ◽  
Scale Parameter ◽  
Laminated Composite ◽  
Length Scale Parameter ◽  
Smart Devices ◽  
Small Scale ◽  
Length Scale ◽  
Couple Stress Elasticity ◽  
Modified Couple Stress

Due to the large application of tapered beams in smart devices, such as scanning tunneling microscopes (STM), nano/micro electromechanical systems (NEMS/MEMS), atomic force microscopes (AFM), as well as in military aircraft applications, this study deals with the vibration behavior of laminated composite non-uniform nanobeams subjected to different boundary conditions. The micro-structural size-dependent free vibration response of composite laminated Euler–Bernoulli beams is here analyzed based on a modified couple stress elasticity, which accounts for the presence of a length scale parameter. The governing equations and boundary conditions of the problem are developed using the Hamilton’s principle, and solved by means of the Rayleigh–Ritz method. The accuracy and stability of the proposed formulation is checked through a convergence and comparative study with respect to the available literature. A large parametric study is conducted to investigate the effect of the length-scale parameter, non-uniformity parameter, size dimension and boundary conditions on the natural frequencies of laminated composite tapered beams, as useful for design and optimization purposes of small-scale devices, due to their structural tailoring capabilities, damage tolerance, and their potential for creating reduction in weight.

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