Vol. 9, No. 2, 2014

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ISSN: 1559-3959
Bimaterial lattices with anisotropic thermal expansion

Marina M. Toropova and Craig A. Steeves

Vol. 9 (2014), No. 2, 227–244
Abstract

Bimaterial lattices with anisotropic thermal expansion consist of nonidentical cells comprising a skewed triangle made of one material surrounding an unskewed triangle made of a second material. The two materials have differing individual coefficients of thermal expansion. The variation in skew angles makes the thermal expansion of the cell anisotropic. Being composed of anisotropic nonidentical cells, the assembled lattice is also anisotropic and can be designed to have different coefficients of thermal expansion on its top and bottom surfaces. Such lattices can be used as transition elements or adapters to avoid thermal-expansion mismatch between two parts of a structure made of materials with different coefficients of thermal expansion and subjected to temperature changes. In the present paper, three nonlinear algebraic equations linking skew angles with the coefficients of thermal expansion in three directions of a cell are derived, the design of several lattices is performed, the algorithm of lattice design is elaborated, and some examples are presented.

Keywords
composite lattices, graded coefficient of thermal expansion, thermal-mismatch adapters
Milestones
Received: 13 December 2013
Revised: 7 February 2014
Accepted: 25 March 2014
Published: 30 May 2014
Authors
Marina M. Toropova
Institute for Aerospace Studies
University of Toronto
4925 Dufferin Street
Toronto, ON M4H 5T6
Canada
Craig A. Steeves
Institute for Aerospace Studies
University of Toronto
4925 Dufferin Street
Toronto, ON M4H 5T6
Canada