Analytical Mode III electromagnetic permeable cracks in magnetoelectroelastic materials

2011 ◽  
Vol 89 (7-8) ◽  
pp. 631-645 ◽  
Author(s):  
Z.H. Zhou ◽  
X.S. Xu ◽  
A.Y.T. Leung
Keyword(s):  
Mode Iii ◽  
Magnetoelectroelastic Materials

Investigation of a Mode III Crack in Functionally Graded Magnetoelectroelastic Materials

2007 ◽  
Vol 348-349 ◽  
pp. 713-716
Author(s):  
Bao Lin Wang ◽  
H.Y. Zhang
Keyword(s):  
Electric Displacement ◽  
Elastic Stiffness ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Mode Iii ◽  
Material Inhomogeneity ◽  
Magnetoelectroelastic Materials ◽  
Field Intensity Factors ◽  
Magnetic Induction Intensity ◽  
Series Of Functions

In this study, an anti-plane crack in a functionally graded magnetoelectroelastic materials is investigated. It is assumed that the material properties such as elastic stiffness c44(y), piezoelectric coefficient e15(y), dielectric constant ε11(y), piezomagnetic coefficient α15(y), magnetoelectric coupling coefficient μ11(y) and magnetic permeability υ11(y) vary one-dimensionally on the ycoordinate with a series of functions f(y).An asymptotic analysis is done and the problem is solved by means of singular integral equation technique. The influence of the material inhomogeneity on crack tip stress, electric displacement and magnetic induction intensity factors are studied. The results are considered to reveal the effect of material inhomogeneity and geometry of the crack on the field intensity factors.

scholarly journals Antiplane–inplane shear mode delamination between two second-order shear deformable composite plates

2016 ◽  
Vol 22 (3) ◽  
pp. 259-282 ◽  
Author(s):  
András Szekrényes
Keyword(s):  
Plate Theory ◽  
Plate Thickness ◽  
State Space Model ◽  
Boundary Surface ◽  
Plate Boundary ◽  
Composite Plates ◽  
Second Order ◽  
Shear Mode ◽  
Mode Iii ◽  
Double Plate System

The second-order laminated plate theory is utilized in this work to analyze orthotropic composite plates with asymmetric delamination. First, a displacement field satisfying the system of exact kinematic conditions is presented by developing a double-plate system in the uncracked plate portion. The basic equations of linear elasticity and Hamilton’s principle are utilized to derive the system of equilibrium and governing equations. As an example, a delaminated simply supported plate is analyzed using Lévy plate formulation and the state-space model by varying the position of the delamination along the plate thickness. The displacements, strains, stresses and the J-integral are calculated by the plate theory solution and compared with those by linear finite-element calculations. The comparison of the numerical and analytical results shows that the second-order plate theory captures very well the mechanical fields. However, if the delamination is separated by only a relatively thin layer from the plate boundary surface, then the second-order plate theory approximates badly the stress resultants and so the mode-II and mode-III J-integrals and thus leads to erroneous results.

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