Analysis of displacement and strain field around a bimaterial interfacial region by stress couple theory and experiment

2002 ◽  
Vol 37 (4) ◽  
pp. 281-287 ◽  
Author(s):  
Y-L Kang ◽  
D-H Fu ◽  
G-F Wang ◽  
S-W Yu ◽  
X-J Pan
Keyword(s):  
Phase Shift ◽  
Couple Stress Theory ◽  
Measuring Method ◽  
Shear Loading ◽  
Moiré Interferometry ◽  
Interfacial Region ◽  
Moire Interferometry ◽  
Stress Theory ◽  
Stress Couple ◽  
Couple Theory

This paper is concerned with the determination of displacement and strain fields within the interfacial region of a bimaterial specimen under shear loading. The analysis is based on the couple stress theory. The measurements are made by means of phase shift moiré interferometry which has been recognized as a useful measuring method by combining moiré interferometry with the phase shift technique and image processing. The results obtained by phase shift moiré interferometry show that the distribution of the shear strain, rotation angle and rotation gradient at the interface region are changing rapidly. The results show good agreement with those predicted by stress couple theory.

A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity theory

2021 ◽  
pp. 108128652110015
Author(s):  
YL Qu ◽  
GY Zhang ◽  
YM Fan ◽  
F Jin
Keyword(s):  
Classical Theory ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Constitutive Relations ◽  
Stress Theory ◽  
Isotropic Materials ◽  
Flexoelectric Effect ◽  
Beam Bending ◽  
Gradient Theories ◽  
Anisotropic And Isotropic Materials

A new non-classical theory of elastic dielectrics is developed using the couple stress and electric field gradient theories that incorporates the couple stress, quadrupole and curvature-based flexoelectric effects. The couple stress theory and an extended Gauss’s law for elastic dielectrics with quadrupole polarization are applied to derive the constitutive relations of this new theory through energy conservation. The governing equations and the complete boundary conditions are simultaneously obtained through a variational formulation based on the Gibbs-type variational principle. The constitutive relations of general anisotropic and isotropic materials with the corresponding independent material constants are also provided, respectively. To illustrate the newly proposed theory and to show the flexoelectric effect in isotropic materials, one pure bending problem of a simply supported beam is analytically solved by directly applying the formulas derived. The analytical results reveal that the flexoelectric effect is present in isotropic materials. In addition, the incorporation of both the couple stress and flexoelectric effects always leads to increased values of the beam bending stiffness.

A size-dependent model for shear deformable laminated micro-nano plates based on couple stress theory

2021 ◽  
Vol 259 ◽  
pp. 113457
Author(s):  
Zanhang He ◽  
Jianghong Xue ◽  
Sishi Yao ◽  
Yongfu Wu ◽  
Fei Xia
Keyword(s):  
Couple Stress ◽  
Couple Stress Theory ◽  
Stress Theory ◽  
Size Dependent ◽  
Dependent Model ◽  
Shear Deformable
Sign in / Sign up

Export Citation Format

Share Document