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SwiftComp is a multiscale constitutive modeling software based on mechanics of structure genome. Digimat is a multiscale material modeling platform; A comprehensive compilation of software tools with relevance for ICME is documented in the Handbook of Software Solutions for ICME [10]
The microplane model, conceived in 1984, [1] is a material constitutive model for progressive softening damage. Its advantage over the classical tensorial constitutive models is that it can capture the oriented nature of damage such as tensile cracking, slip, friction, and compression splitting, as well as the orientation of fiber reinforcement.
The first constitutive equation (constitutive law) was developed by Robert Hooke and is known as Hooke's law.It deals with the case of linear elastic materials.Following this discovery, this type of equation, often called a "stress-strain relation" in this example, but also called a "constitutive assumption" or an "equation of state" was commonly used.
Describing the stress, strain and deformation either in the reference or current configuration would make it easier to define constitutive models (for example, the Cauchy Stress tensor is variant to a pure rotation, while the deformation strain tensor is invariant; thus creating problems in defining a constitutive model that relates a varying ...
In continuum mechanics, an Arruda–Boyce model [1] is a hyperelastic constitutive model used to describe the mechanical behavior of rubber and other polymeric substances. This model is based on the statistical mechanics of a material with a cubic representative volume element containing eight chains along the diagonal directions.
Variables on the material points: positions, velocities, strains, stresses etc. are then updated with these rates depending on integration scheme of choice and a suitable constitutive model. Resetting of grid. Now that the material points are fully updated at the next time step, the grid is reset to allow for the next time step to begin.
Gregory M. Odegard is a materials researcher and academic. He is the John O. Hallquist Endowed Chair in Computational Mechanics in the Department of Mechanical Engineering – Engineering Mechanics at Michigan Technological University [1] and the director of the NASA Institute for Ultra-Strong Composites by Computational Design.
The hyperelastic material is a special case of a Cauchy elastic material. For many materials, linear elastic models do not accurately describe the observed material behaviour. The most common example of this kind of material is rubber, whose stress-strain relationship can be defined as non-linearly elastic, isotropic and incompressible.