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Showing 1 to 20 of 120 for “"Constitutive equations"”.
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Constitutive equations for hot working of aluminum alloy 6061
Thesis (B.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1986.
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Constitutive equations for superelasticity in crystalline shape-memory materials
A crystal-mechanics-based constitutive model for polycrystalline shape-memory materials has been developed. The model has been implemented in a finite-element program. Finite-element calculations of polycrystal response were performed using two methods: (1) The full-finite element method where each …
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Constitutive equations and failure criteria for amorphous polymeric solids
… carefully accounts for restrictions placed on constitutive assumptions by frame-indifference and by a new mathematical definition of an amorphous material based on the notion that the constitutive relations for such materials should be invariant under all rotations of the reference …
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Time intergration schemes for rate dependent elasto-plastic constitutive equations
The purpose of this thesis is to set out the results of an investigation into the commonly used methods of performing material update calculations within the framework of the Finite Element Method, as well as an investigation into possible new methods of performing the material update procedures …
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Classical and statistical theories for the determination of constitutive equations.
Massachusetts Institute of Technology. Dept. of Civil Engineering. Thesis. 1970. Ph.D.
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Dense granular flow in rotating drums: a computational investigation of constitutive equations
The constitutive laws of dense granular flow are investigated. Simulations of a drum, with periodic boundary conditions, rotating at varying speeds are performed. From the resulting data, kinematic and kinetic fields are extracted and used to investigate the validity of constitutive relations …
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Constitutive equations for granular materials : application to dry sand and powder metal
… band formation are critically dependent upon the constitutive equations employed. In this thesis, a new physically based constitutive model is formulated for describing the plastic flow of cohesionless granular materials. This constitutive model has been implemented in the finite element package …
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Computational procedures for a new class of finite deformation elastic-plastic constitutive equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1988.
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A time integration procedure for elasto-viscoplastic constitutive equations of the internal variable type
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1985.
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Damage and repair evolution of cold formed linepipe steel
… of linepipe steel. A set of unified viscoplastic constitutive equations was developed to simulate microstructural evolution and the effect on mechanical properties due to cold deformation followed by annealing. In addition, practical experiments have been performed to validate the constitutive …
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Multiaxial creep models for 304 stainless steel
Two viscoplastic constitutive equations were developed to describe creep strain of 304 stainless steel at 593 [degrees] C (1100 [degrees] F) under variable stresses of pure tension, pure torsion and combined tension and torsion. One was based on isotropic strain hardening concept and the other …
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Rate and time dependent behavior of structural adhesives
… bonding of composite materials are presented. Constitutive equations capable of describing changes in material behavior with strain rate are derived from various theoretical approaches. It is shown that certain unique relationships exist between these approaches. It is also shown that the …
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Kinematic Constraints in Nonlinear Elasticity (Incompressibility, Perturbation, Convergence)
The constitutive equations for a material which approximately satisfies a kinematic constraint are investigated for the particular case of an elastic material.
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Analysis of Discrete Fractional Operators and Discrete Fractional Rheological Models
… operators and discrete fractional rheological constitutive equations. In the first part of the thesis, we introduce and prove new monotonicity concepts in discrete fractional calculus. In the remainder, we carry previous results about fractional rheological models to the discrete fractional …
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Classical and mixed multilayered plate/shell models for multifield problems analysis
… - an extension of the geometrical relations and constitutive equations to multifield problems and multilayered plates and shells; - the introduction of Carrera’s Unified Formualtion (CUF), the use of variational statements, and their extension to multifield problems; - the results of several …
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An internal variable theory for isotropic visco-elastic-plastic solids : application to indentation of amorphous polymeric solids
… three-dimensional theory and then specialize the constitutive equations to an approximate one-dimensional form. Also, we describe our monotonic, cyclic and creep experiments on the amorphous polymeric solid poly(methyl methacrylate) (PMMA), at ambient temperature and stress states under which this …
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Buckling of thin-walled cylinders from three dimensional nonlinear elasticity
… of a thin cylinder. The incremental equilibrium equations in terms of generalized stresses are rigorously derived in terms of mean quantities (holding true regardless of the thickness of the cylinder), through a generalization of the approach introduced by Biot (1965) for rectangular plates. The …
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Hyperelastic continuum modeling of cubic crystals based on first-principles calculations
We propose new constitutive equations that capture the low-temperature hyperelastic response of cubic-symmetry single crystals up to large volumetric and deviatoric deformations in the region of stability of the equilibrium crystal phase. For the first time, we combine the formalism of continuum …
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SMA-induced deformations in unsymmetric cross-ply laminates
… Then, using the principle of virtual work, equations relating the shape of the laminate to a force applied on supports fastened to the laminate are derived. Induced strains and displacements are predicted as a function of the applied force. Experiments where the force is generated by known …
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