**Abstract:**

Self-healing materials belong to the class of smart materials. These materials can change their properties due to external influences. Inspired by biological systems, the development and manufacture of self-healing materials in view of new applications in engineering, material science and medicine is a subject of international research.

The aim of the research project is to develop a continuum-based micromechanical model and algorithms for the description of self-healing anisotropic composites. The fiber reinforced composites consist of a weak solid matrix and different fiber families, the healing process is based on the existence of healing agents embedded in the solid matrix. For the macroscopic description of these materials, an FE-discretization of the microstructure is used to fit the microscopic behavior to the homogenized macrostructure. The healing process of the matrix is modeled within the framework of the Theory of Porous Media (TPM), where criteria for the onset and progression of healing are formulated following experimental observations. The places of damage (cracks), the amount of healing agents as well the basic and the self-healed material can be identified by the corresponding volume fractions of a Representative Volume Element (RVE) in a finite element simulation.

J. Bluhm, S. Specht, and J. Schröder [2014], "Modeling of self-healing effects in polymer composites", Archive of Applied Mechanics

S. Specht, J. Bluhm, and J. Schröder [2014],"Modeling of self-healing phenomena in a polymer matrix based on a microcapsule system", WCCM

S. Specht, J. Bluhm, and J. Schröder [2014], " Modeling of self-healing phenomena in a polymer matrix within the framework of the theory of porous media", Proceedings in Applied Mathematics and Mechanics,submitted

S. Specht, J. Bluhm, and J. Schröder [2013], "Fe-analysis of concentration dependent healing processes in a polymer matrix", Proceedings in Applied Mathematics and Mechanics (Pages 219-220)

S. Specht, J. Bluhm, and J. Schröder [2013], "Self-healing phenomena in polymers based on the Theory of Porous Media", ICSHM 2013

S. Specht, J. Bluhm, and J. Schröder [2012], "Modeling of healing processes in a polymer matrix", Proceedings in Applied Mathematics and Mechanics (Pages 357-358)

Specht S., Bluhm J. & Schröder J. [2012], "Modeling of Healing Processes in a Polymer Matrix", PAMM, accepted for publication

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