Mechanics of materials and interfaces: the disturbed state concept
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Then, the available continuum models or theories are very often enhanced or enriched by models or constraints to simulate discontinuity. It is with the foregoing appreciation of the limitation of our modelling that we will deal with materials that are both continuous and discontinuous at the same time.
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The latter can involve relative motions between particles due to microcracking, slippage, rotations, etc. In the case of the mechanical response of deforming engineering materials, the components are considered to be reference material states. For the element of the same material, the reference material states are considered to be its initial continuum or relative intact RI state, and the fully adjusted FA state that results from the transformation of the material in the RI state due to factors such as particle relative motions and microcracking.
We first consider the DSC for the case of deformations in the same material. Then we shall consider the DSC for deforming a material element composed of more than one different material. In other words, as in the case of some metals, it is assumed that the density or void ratio of the material remains invariant during deformation.
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The linear elastic response can be considered to be the RI state in relation to the observed elastic—plastic hardening behavior. The elastic—plastic hardening response can be treated as an RI state in relation to the elastic perfectly plastic response. The linear elastic or the elastic—plastic hardening responses can be treated as RI in relation to the observed degradation or softening behavior. Relative Intact Behavior : A loose material with an initial mean pressure p0 may compact continuously during shear loading.
In that case, the RI response can be characterized by excluding the effect of increased compaction, in which case the observed response can be stiffer than the RI response. Theory of Plasticity in DSC :.
An Improved Method of Determining the Disturbed State Concept Model Parameters
The development and application of the theory of plasticity have occurred over the last many years 1— The intention here is to describe briefly the basic aspects of the theory and its use in the DSC. The theory of elasticity is applicable if the material is elastic; that is, upon removal of load, it returns to its original configuration along the same path. However, except for limited ranges of loading, most materials do not return to their original configuration; that is, they follow different paths during unloading. As a result, at the end of unloading, the material retains a part of the deformation or strain, which is referred to as irreversible,.
Hence, the total strain, , at different points is assumed to be composed of the plastic, , and the elastic or recoverable parts.