The Maxwell-Lame equations governing the principal components of Cauchy stress for plane deformations are well known in the context of photo-elasticity, and they form a pair of coupled first-order hyperbolic partial differential equations when the deformation geometry is known. In the present paper this theme is developed for nonlinear isotropic elastic materials by supplementing the (Lagrangea...

The h-deformation of functions on the Grassmann matrix group Gr(2) is presented via a contraction of Grq(2). As an interesting point, we have seen that, in the case of the h-deformation, both R-matrices of GLh(2) and Grh(2) are the same. E-mail: [email protected] E-mail: [email protected] In recent years a new class of quantum deformations of Lie groups and algebras, the so-called h-de...

the problem of several finite moving cracks in a functionally graded material is solved by dislocation technique under the condition of anti-plane deformation. by using the fourier transform the stress fields are obtained for a functionallygraded strip containing a screw dislocation. the stress components reveal the familiar cauchy singularity at thelocation of dislocation. the solution is empl...

In this study a Dynamic Electronic Speckle Pattern Intereferometry (ESPI) method was applied to investigate deformation field of small industrial elements. In the proposed phase analysis method, the interference signal is considered in time domain and the phase was analyzed by Hilbert transform method. Two experiments were performed, with in-plane and out-of-plane sensitive systems in order to ...

Using dissipationmodels based on Akhiezer theory, we analyze themicroscopic origin of nonlinearity in intrinsic loss of a single layerMoS2.We study the intrinsic dissipation of single layerMoS2 under axial and flexuralmode of deformation using molecular dynamics (MD) simulation. We compare the amplitude scaling of intrinsic dissipation for both the cases with our proposed model. In the axial de...

The plane strain deformation of an isotropic, homogeneous, poroelastic medium caused by an inclined line-load is studied using the Biot linearized theory for fluid saturated porous materials. The analytical expressions for the displacements and stresses in the medium are obtained by applying suitable boundary conditions. The solutions are obtained analytically for the limiting case of undrained...

Integrated field data, microstructural and three-dimensional strain analyses are used to document coaxial N-S shortening and southward increase in deformation intensity and metamorphism at the Jiaochang structure. Two episodes of deformation (D1,D2) with localized post-D2 deformation have been identified in the area. The first deformation (D1) episode is defined by a main axial-plane of paralle...

this paper proposed analytical solutions for the buckling analysis of rectangular single-layered graphene sheets under in-plane loading on all edges simply is supported. the characteristic equations of the graphene sheets are derived and the analysis formula is based on the nonlocal mindlin plate. this theory is considering both the small length scale effects and transverse shear deformation ef...

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Yi Xiong Name of the doctoral dissertation In-plane Tire Deformation Measurement Using a Multi-Laser Sensor System Publisher School of Engineering Unit Department of Mechanical Engineering Series Aalto University publication series DOCTORAL DISSERTATIONS 89/2016 Field of research Engineering Design and Production Manuscript su...