Consistent tangent operators for constitutive rate equations

Rate Dependent Constitutive Equations of Cyclic Softening

Constitutive equations of cyclic strain and stress softening for materials with low internal stress levels are derived from the rate theory. The study shows that over the high stress and low temperature range where the description of plastic flow in cyclic softening can be approximated with activation over a single energy barrier, cyclic strain softening is well related to stress relaxation pro...

Tangent cone algorithm for homogenized differential operators

We extend Mora’s tangent cone or the écart division algorithm to a homogenized ring of differential operators. This allows us to compute standard bases of modules over the ring of analytic differential operators with respect to sufficiently general orderings which are needed in the D-module theory.

Consistent tangent operator for an exact Kirchhoff rod model

Constitutive Equations for Solid Propellants

Mechanical behavior of the Space Shuttle redesigned solid rocket motor (RSRM) propellant is studied from a phenomenological point of view. Motivated by the study of the experimental data three initially isotropic constitutive models have been developed. All models represent the e ect of strain rate, superimposed hydrostatic pressure, and cyclic loading on the stress and dilatation response of t...

Constitutive Equations of Erythrocyte

The erythrocyte membrane is modeled as a two-dimensional viscoelastic continuum that evolves under the application of stress. The present analysis of the erythrocyte membrane is motivated by the recent development of knowledge about its molecular structure. The constitutive equations proposed in the present analysis explain in a consistent manner the data on both the deformation and recovery ph...