Extended general interfaces: Mori–Tanaka homogenization and average fields

Firooz S, Chatzigeorgiou G, Steinmann P, Javili A (2022)

Publication Type: Journal article

Publication year: 2022

Journal

International Journal of Solids and Structures Elsevier

Book Volume: 254-255

Article Number: 111933

DOI: 10.1016/j.ijsolstr.2022.111933

Abstract

A well-established methodology to capture interphases in heterogeneous materials is to replace them by a zero-thickness interface model. Commonly accepted interface models intuitively assume that to satisfy the angular momentum balance, interfaces must coincide with the mid-layer of their corresponding interphases. Recently, via adopting weighted averages, an extended general interface model has been developed that allows for arbitrary interface positions while fulfilling the angular momentum balance. This manuscript incorporates this novel interface model into the Mori–Tanaka method within the framework of homogenization. Analytical solutions are developed to determine effective properties as well as average local fields for fiber-reinforced and particle-reinforced composites. Computational simulations using the finite element method (FEM) are carried out to compare with the analytical solutions. Through a set of numerical examples, the significance of the interface position on the overall response of heterogeneous materials is highlighted. Our extended framework clarifies various ambiguous observations originating from the trivial assumption of restricting the interface position to the mid-plane. One advantage of the current interface model is that it covers both the elastic and cohesive interface models at its limits and therefore the analytical solutions are widely applicable regardless of the interface type.

Authors with CRIS profile

Soheil Firooz Lehrstuhl für Technische Mechanik Paul Steinmann Lehrstuhl für Technische Mechanik

Involved external institutions

Université de Lorraine FR France (FR) Bilkent University / Bilkent Üniversitesi TR Turkey (TR)

How to cite

APA:

Firooz, S., Chatzigeorgiou, G., Steinmann, P., & Javili, A. (2022). Extended general interfaces: Mori–Tanaka homogenization and average fields. International Journal of Solids and Structures, 254-255. https://dx.doi.org/10.1016/j.ijsolstr.2022.111933

MLA:

Firooz, Soheil, et al. "Extended general interfaces: Mori–Tanaka homogenization and average fields." International Journal of Solids and Structures 254-255 (2022).

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