Assessment of constitutive relationships of modi ed crystalline materials under consideration of nonlinearities, anisotropy and texture
For the analysis of the response of complex structural systems, it is necessary to describe the material constitutive relations by means of an appropriate material model. The level of abstraction of such model may strongly affect the behaviour of the whole structure. In context to that fact, it is necessary to describe the material in a convenient sense as exactly but as simply as possible.
All material phenomena have their seeds in microscopic and nanoscopic scale. Nevertheless, if the material is macroscopically heterogenic, it is appropriate to use phenomenological models for the purpose of civil engineering. Although constantly applied, these models are insufficient for materials with microscopic characteristics such as texture.
For the analysis of structural response of material with texture (e.g. rolled steel or heat affected zone of a welded joint), it is necessary to extend the phenomenological material description of macroscopic scale and enrich the material model with microscopic information. This has been done by describing the grain texture on a lower scale (mesoscopic scale) and including it in macroscopic constitutive relations by means of homogenization. An adaptive implementation of the method provides a practicability for the purpose of the analysis of the response of complex structural systems
Tutors: F. Werner, W. Schwarz, Ch. Kaps, Ingraffea, J. Hildebrandt