Constitutive relations for non-elastic deformation

Deformation, Residual Stress, and Constitutive Relations for Quenched W319 Aluminum

A study of the development of deformation and transient and residual stresses during quenching in aluminum alloy W319 is presented. Rapid tension tests were performed on W319 in the supersaturated solution state at several temperatures and strain rates. A material model following the mechanical threshold stress (MTS)–Voce formulation is developed and implemented in both a simple one-dimensional...

Overall dynamic constitutive relations of layered elastic composites

A method for the homogenization of a layered elastic composite is presented. It allows direct, consistent, and accurate evaluation of the averaged overall frequency-dependent dynamic material constitutive relations without the need for a point-wise solution of the field equations. When the spatial variation of the field variables is restricted by Bloch-form (Floquet-form) periodicity, then thes...

Materials Testing for Constitutive relations

High suain rate tests have been carried out at both room temperature and 100°C on a Ti6A14V alloy using the torsional split Hopkinson pressure bar. An infrared radiometer has been developed to measure the surface temperature of the specimen during the high speed torsional test. Data have been obtained on the variation of stress with strain and strain rate at shear strain rates from 0.0007s" to ...

Evaluation of Micro-Pillar Compression Tests for Accurate Determination of Elastic-Plastic Constitutive Relations

Implicit Constitutive Relations

Classical Constitutive equations like the Navier-Stokes model for fluids and the linearized elastic model for solids are explicit models in that they provide explicit expressions for the stress in terms of kinematical quantities. Similarly, the constitutive equation for a Simple Material is also an explicit equation for the stress in terms of the histories of the deformation gradient and the de...