Modelling, Simulation and Software Concepts for by Gautam Sagar, Erwin Stein (auth.), Ernst Stephan, Peter

By Gautam Sagar, Erwin Stein (auth.), Ernst Stephan, Peter Wriggers (eds.)

The ebook comprises varied contributions that disguise interdisciplinary learn within the components of

· mistakes managed numerical equipment, effective algorithms and software program development

· Elastic and in elastic deformation processes

· types with multiscales and multi-physics

“High functionality” adaptive numerical equipment utilizing finite components (FEM) and boundary parts (BEM) are defined in addition to effective solvers for linear platforms and corresponding software program elements for non-linear, coupled box equations of assorted branches of mechanics, electromagnetics, and geosciences.

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023. 2. The Bain matrix or transformation stretch matrices of the cubic to monoclinic-I transformation of NiTi crystals are given as 26 G. Sagar and E. 0427, [1] are the transformation stretches determined from the lattice parameters of the parent phase (austenite) and product phase (martensite). Acknowledgement Support for this work was provided by the German Science Foundation (DFG) under project No. Ste 238/51-1&2, which is gratefully acknowledged. References 1. K. Bhattacharya. Microstuctures of Martensite.

Software, 25(3):220–232, 2008. 39. K. Hackl and R. Heinen. A micromechanical model for pretextured polycrystalline shapememory alloys including elastic anisotropy. Continuum Mech. , 19:499–510, 2008. 40. A. Nae, Y. Matsuzaki, and T. Ikeda. Micromechanical modeling of polycrystalline shapememory alloys including thermo-mechanical coupling. Smart Mater. Structures, 12:6–17, 2003. 41. C. Brinson. A simplified multivariant sma model based on invariant plane nature of martensitic transformation. J. Intell.

J. Maier, and K. Jacobus. Stress-induced martensitic phase transfromations in polycrystalline cuznal shape memory alloys under different stress states. Metall. , A, 29A:765–773, 1998. 17. P. C. Hwang. A micromechanics model of transfromation plasticity with shear and dilatation effect. J. Mech. Phys. Solids, 39:507–524, 1991. 18. P. C. Hwang. Micromechanics modelling for the constitutive behavior of polycrystalline shpae memory alloys. I. Derivation of general relations. J. Mech. Phys. Solids, 41(1):1–17, 1993.

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