Integrability of Displacement and Stresses in Linear and Nonlinear Elasticity with Mixed Boundary Conditions
نویسندگان
چکیده
Equations of linear and nonlinear infinitesimal elasticity with mixed boundary conditions are considered. The bounded domain is assumed to have a Lipschitz boundary and to satisfy additional regularity assumptions. W 1,p regularity for the displacements and Lp regularity for the stresses is proved for some p > 2.
منابع مشابه
Elasticity Solution Approach for Functionally Graded Spherical Shell with Piezoelectric Properties
Based on elasticity approach, 1D analytical method is adopted in radial direction to analyze spherical shell made of FGPM. The mechanical properties are regulated by volume fraction as a function of radial coordinate. Loading can be internal and external pressures, or electric field. All mechanical and piezoelectric properties except the Poisson’s ratio are assumed to be power functions of radi...
متن کاملThe Nonlinear Bending Analysis for Circular Nano Plates Based on Modified Coupled Stress and Three- Dimensional Elasticity Theories
In this paper, the nonlinear bending analysis for annular circular nano plates is conducted based on the modified coupled stress and three-dimensional elasticity theories. For this purpose, the equilibrium equations, considering nonlinear strain terms, are calculated using the least energy potential method and solved by the numerical semi-analytical polynomial method. According to the previous ...
متن کاملNonlinear Finite Element Analysis of Thermoelastic Stresses of FGM Rotating Disk Considering Temperature-Dependency of Material Properties
In the present paper, nonlinear radial and hoop thermoelastic stresses analysis of a disk made of FGMs material is investigated. According to this purpose, finite element method is used. In the present method, second-order one-dimensional element (with three node points) is proposed. The geometrical and stress boundary conditions are defined in the state of non-existence of external pressure an...
متن کاملMagneto-Thermo-Elastic Stresses and Perturbation of Magnetic Field Vector in a Thin Functionally Graded Rotating Disk
In this paper, a semi-analytical solution for magneto-thermo-elastic problem in an axisymmetric functionally graded (FG) hollow rotating disk with constant thickness placed in uniform magnetic and thermal fields with heat convection from disk’s surfaces is presented. Solution for stresses and perturbation of magnetic field vector in a thin FG rotating disk is determined using infinitesimal theo...
متن کاملTwo-Dimensional Elasticity Solution for Arbitrarily Supported Axially Functionally Graded Beams
First time, an analytical two-dimensional (2D) elasticity solution for arbitrarily supported axially functionally graded (FG) beam is developed. Linear gradation of the material property along the axis of the beam is considered. Using the strain displacement and constitutive relations, governing partial differential equations (PDEs) is obtained by employing Ressiner mixed var...
متن کامل