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|External Resource: https://uni-kassel.webex.com/meet/wgamm02|
Mechanical interfaces and interphases
Material interfaces and their interaction with the surrounding bulk material play a major role in materials science as well as in engineering. Ultra-fine grained steels or so-called TRIP and TWIP-steels are well-known examples for the importance of material interfaces in materials science. In such materials, the properties of the involved interfaces significantly influence the resulting macroscopic properties due to the high interface-to-volume ratio. With respect to engineering applications, the significance of material interfaces becomes apparent in crack propagation and in the evolution of shear bands. Independent of the considered example, the different scaling of interface and bulk energies and their coupling lead to complex size effects.
This talk surveys recent developments in the modeling of mechanical interfaces. So-called sharp interfaces, i.e., interfaces with zero thickness, are introduced and analyzed first. Focus is on general frameworks that a priori comply with the fundamental restrictions imposed by thermodynamics and the balance equations. These frameworks, which also include generalized imperfect interfaces,allow consistent modeling of anisotropic material behavior within a geometrically exact setting. They encompass classic cohesive models as well as surface elasticity theory in the sense of Gurtin. Interfaces can alternatively be modeled as diffuse interfaces(or interphases) exhibiting a finite thickness. Promising approaches have been developed by using the phase field method. Since phase field approximations fall into the more general class of gradient-enhanced models, recent developments with respect to this modeling class are also surveyed. The mechanical properties of the presented frameworks are illustrated by means of several examples. They encompass the modeling of grain boundaries, interfaces between inclusions and the surrounding matrix, damage evolution and fracture in solids as well as size-dependent finite strain (crystal) plasticity theory.