The Plane Under The Action Of Different Double Material Interface Stress Analysis

As the new composite materials were applied to automotive, aviation,construction, the interfacial mechanical behaviors of different materials weregot the attention of the scholars both at home and abroad more and more. Withthe development of composite materials, the bi-materials were brought out.What were bi-materials, meaning the two different nature of the materials werecombined by some combination methods. The integration of bi-materials wascalled “interface”. They were often damaged from the interface or interface endfirst. So, the problems of interface end were analyzed in-depth, which were ofgreat significance for evaluating the strength and reliability of the bi-materials.In this paper, the problems of an anisotropy and an orthotropic bi-materialsanti-plane interface end are studied. Based on the composite elastic mechanicsknowledge, the control equations of dissimilar an anisotropy and an orthotropicanti-plane interface end are established. By introducing the theory of complexvariable functions, the displacement functions of undetermined coefficients, theeigenvalue analysis method, and the problems of a class of partial differentialequations with boundary value are solved. The stress field, the displacementfield and the stress intensity factor of an anisotropy and an orthotropicbi-materials interface crack, the plate lap joint interface end in anti-plane arederived. When (Q₄₅)₁=0, The stress field and the displacement field correspond tothe orthotropic bi-materials, which are derived and consistent with the results inpublished literature, which verify the correctness of results in this paper.In this paper, The stress singularity of an anisotropy and an orthotropicbi-materials anti-plane interface crack, plate lap joint interface end, right angledinterface end, symmetric convex angled interface end, symmetric reentrantangled interface end, asymmetric convex angled interface end and asymmetricreentrant angled interface end are analyzed one by one, and obtain: （1） The stress of an anisotropy and an orthotropic bi-materials interfacecrack tip in anti-plane has singularity of r^-1/2, but no oscillation.（2） Two cases of mode III plate flat joint interface end are studied. Forθ₁=π, θ₂=π/2andθ₁=π/2,θ₂=π, the result show that the stress singularity of theplate lap joint interface end exists.（3） The stress singularity of anti-plane right angled interface end exists; thestress singularity of symmetric convex angled interface end exists; the stresssingularity of symmetric reentrant angled interface end doesn’t exist. The stresssingularity of both asymmetric convex angled interface end and asymmetricreentrant angled interface end exist.