based on two-dimensional plane stress and bifurcation functional from hill's general theory in polar coordinate the critical condition for elastic wrinkling of the flange of a circular blank ( the wave number in the flange and wrinkled area) during the deep-drawing process are obtained analyticaly to improve the previous given results. in this analytical study, the elastic limitation of the mat...

In this paper, we present an improved parametrization of the elastic scattering spin-0 particles, which is based on a dispersive representation for inverse amplitude. Besides being well-known general principles, requirement that amplitude should satisfy dispersion relation significantly constrains its possible forms and have not been incorporated in existing parametrizations so far. While right...

In this paper, we take an in-depth look at the analytical structure of material transfer functions which govern acoustic and elastic response. These include wavenumber (κ) in such media refractive index (n′), density (ρ) its inverse, stiffness (C) compliance (D) tensors as well Bulk modulus (B), finally broader generalization these properties is now known Willis tensor (L). Our goal to clarify ...

The size-dependent longitudinal and torsional dynamic problems for small-scaled rods have importance in two-phase media. special case of the elastic rod equation such as magneto-electro circular are seen literature commonly, but this work, generalized form nonlinear equation, which was not studied literature, is considered. exact solutions obtained via Mathieu approximation method with a novel ...

To address the bottleneck issues of an elastic-style six-axis force/torque sensor (six-axis force sensor), this work proposes a no-elastic piezoelectric six-axis force sensor. The operating principle of the piezoelectric six-axis force sensor is analyzed, and a structural model is constructed. The static-active design theory of the piezoelectric six-axis force sensor is established, including a...

A generalized thermo-elastic diffusion problem in a functionally graded isotropic, unbounded, rotating elastic medium due to a periodically varying heat source in the context of fractional order theory is considered in our present work. The governing equations of the theory for a functionally graded material with GNIII model are established. Analytical solution of the problem is derived in Lapl...

Based on the differential transformation method, a semi-analytical solution is developed for free vibration and modal stress analyses of variable thickness two-directional functionally graded circular plates with restrained edges, resting on elastic foundations. Variations of the material and geometry parameters are monitored by five distinct exponential functions. The presented non-dimensional...