From a micro‐structural point of view, many natural or engineered materials can be assigned to the class of multi‐physics materials. Therein, their macroscopic observed behaviour is governed by different micro‐structural physical phenomena. For instance, when electro‐active polymers (EAP) are subjected to an electric field, the resulting chemical and electrical imbalances trigger micro‐structural diffusion processes, which re‐establish the equilibrium state, thereby causing macroscopic deformations. Further examples for these materials are partially or fully saturated porous media (e. g. foams, soils, filters, fibre‐reinforced plastics), chemical‐ or electrical‐active materials (e. g. hydrogels, lithium‐ion batteries, fuel cells) or biological tissues (e. g. bone, cartilage). Addressing the simulation of multi‐physics materials, which often exhibit a complex and heterogeneous micro‐structure, it is convenient to proceed from a macroscopic modelling approach. In this regard, the aforementioned materials can be described exploiting the macroscopic Theory of Porous Media (TPM) as a suitable modelling framework, see, e. g. [1,2].
Proceedings in Applied Mathematics & Mechanics – Wiley
Published: Jan 1, 2017
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