The Experts below are selected from a list of 42 Experts worldwide ranked by ideXlab platform
R C Batra - One of the best experts on this subject based on the ideXlab platform.
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stress analysis and Material tailoring in isotropic linear thermoelastic incompressible functionally graded rotating disks of variable thickness
Composite Structures, 2010Co-Authors: G J Nie, R C BatraAbstract:Abstract We analyze axisymmetric deformations of a rotating disk with its thickness, mass density, thermal expansion coefficient and shear modulus varying in the radial direction. The disk is made of a Rubberlike Material that is modeled as isotropic, linear thermoelastic and incompressible. We note that the hydrostatic pressure in the constitutive relation of the Material is to be determined as a part of the solution of the problem since it cannot be determined from the strain field. The problem is analyzed by using an Airy stress function φ . The non-homogeneous ordinary differential equation with variable coefficients for φ is solved either analytically or numerically by the differential quadrature method. We have also analyzed the challenging problem of tailoring the variation of either the shear modulus or the thermal expansion coefficient in the radial direction so that a linear combination of the hoop stress and the radial stress is constant in the disk. For a rotating annular disk we present the explicit expression of the thermal expansion coefficient for the hoop stress to be uniform within the disk. For a rotating solid disk we give the exact expressions for the shear modulus and the thermal expansion coefficient as functions of the radial coordinate so as to achieve constant hoop stress. Numerical results for a few typical problems are presented to illuminate effects of Material inhomogeneities on deformations of a hollow and a solid rotating disk.
Friedrich Gruttmann - One of the best experts on this subject based on the ideXlab platform.
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a consistent finite element formulation of nonlinear membrane shell theory with particular reference to elastic Rubberlike Material
Finite Elements in Analysis and Design, 1993Co-Authors: Adnan Ibrahimbegovic, Friedrich GruttmannAbstract:Abstract In this paper we present a nonlinear membrane theory for Rubberlike shells accounting for large elastic strains. We discuss the Material model given as a general coaxial form of stress and strain measures. It includes, as a special case, the hypereleastic model in terms of principal stretches which is often used to characterize Rubberlike Materials. The displacement-based finite elements are used. Cartesian coordinate systems are constructed locally at each numerical integration point in order to simplify computations. Numerical examples demonstrate a very satisfying performance of the proposed formulation.
Pierre Gilormini - One of the best experts on this subject based on the ideXlab platform.
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observation and modeling of the anisotropic visco hyperelastic behavior of a Rubberlike Material
International Journal of Solids and Structures, 2006Co-Authors: Julie Diani, Mathias Brieu, Pierre GilorminiAbstract:The visco-hyperelastic behavior of a filled Rubberlike Material has been studied experimentally by large deformation cyclic uniaxial loadings, and an anisotropy induced by the Mullins effect has been demonstrated. By applying a generalized Maxwell model to a set of Material directions, damage could be included in order to reproduce the stress softening due to the Mullins effect. This induces also an anisotropic mechanical response, and the model compares favorably with the experimental measures.
G J Nie - One of the best experts on this subject based on the ideXlab platform.
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stress analysis and Material tailoring in isotropic linear thermoelastic incompressible functionally graded rotating disks of variable thickness
Composite Structures, 2010Co-Authors: G J Nie, R C BatraAbstract:Abstract We analyze axisymmetric deformations of a rotating disk with its thickness, mass density, thermal expansion coefficient and shear modulus varying in the radial direction. The disk is made of a Rubberlike Material that is modeled as isotropic, linear thermoelastic and incompressible. We note that the hydrostatic pressure in the constitutive relation of the Material is to be determined as a part of the solution of the problem since it cannot be determined from the strain field. The problem is analyzed by using an Airy stress function φ . The non-homogeneous ordinary differential equation with variable coefficients for φ is solved either analytically or numerically by the differential quadrature method. We have also analyzed the challenging problem of tailoring the variation of either the shear modulus or the thermal expansion coefficient in the radial direction so that a linear combination of the hoop stress and the radial stress is constant in the disk. For a rotating annular disk we present the explicit expression of the thermal expansion coefficient for the hoop stress to be uniform within the disk. For a rotating solid disk we give the exact expressions for the shear modulus and the thermal expansion coefficient as functions of the radial coordinate so as to achieve constant hoop stress. Numerical results for a few typical problems are presented to illuminate effects of Material inhomogeneities on deformations of a hollow and a solid rotating disk.
Adnan Ibrahimbegovic - One of the best experts on this subject based on the ideXlab platform.
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a consistent finite element formulation of nonlinear membrane shell theory with particular reference to elastic Rubberlike Material
Finite Elements in Analysis and Design, 1993Co-Authors: Adnan Ibrahimbegovic, Friedrich GruttmannAbstract:Abstract In this paper we present a nonlinear membrane theory for Rubberlike shells accounting for large elastic strains. We discuss the Material model given as a general coaxial form of stress and strain measures. It includes, as a special case, the hypereleastic model in terms of principal stretches which is often used to characterize Rubberlike Materials. The displacement-based finite elements are used. Cartesian coordinate systems are constructed locally at each numerical integration point in order to simplify computations. Numerical examples demonstrate a very satisfying performance of the proposed formulation.
