O PTIMAL paths of deformation between homogeneous states of finite strain are identified on the basis that the work expended should be an absolute minimum. A deformation is called elastic deformation, if the stress is a linear function of strain. Therefore, the identification of the true paths could be made by the microstructural fingerprints, i.e. What is a P-T-t path? The deformation path between B2 and B33 is suggested by Density Functional Theory calculations , , , with a combination of shear and shuffle. Deformation, Stress, and Conservation Laws In this chapter, we will develop a mathematical description of deformation. In principle, a distinction can be made between elastic deformation and plastic deformation. In this study, the multistep forming process with different deformation paths was introduced to improve the forming effect of FRP. Donna Whitney, University of Minnesota . It leads to much lower strength and large plastic deformation along the selected paths. The principle of FRP is based on thickness thinning, so the deformation path significantly impacts the forming effect. This topic presents an overview of deformation, homogenous and heterogenous deformation and strain in 1D and 2D. In other words, stress and strain follows Hooke’s law. 1. One speaks of an elastic deformation when only a relatively low force ist action on the atoms in the respective material and therefore the atoms are only moved slightly. We use cookies to distinguish you from other users and to provide you with a better experience on our websites. P-T-t Paths . This inelastic behavior is called plastic deformation. The initial path is deformed so as to account for the triangular obstacle that was unknown at planning time [5]. During the B2 to B33 transformation, three-fold, four-fold rotations and a few mirrors in B2 disappears, so there are twenty-four crystallographically equivalent pathways. Structural Geology - by Haakon Fossen July 2010. Fig. Metamorphism is a dynamic process, involving changes in temperature ± pressure through time. First-principles calculations reveal an intriguing mechanism for bond transformation mediated by three-center bonding, which reduces considerably the rigidity and directionality of the two-center covalent bonds in γ-boron. Path deformation principle. The materials considered are classically rigid/plastic, isotropic and nonhardening, with any convex yield surface. , the organization of the martensite variants. Elastic deformation. Beyond the linear region, stress and strain show nonlinear behavior. However, under the two paths, the structure deformation happens on different systems, thus they should have different impacts on variant organization. The pressure (P) - temperature (T) - time (t) path of a metamorphic rock is the set of all P-T conditions experienced by a rock during its metamorphic history (Figure 1). 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