The topological design of materials with specified thermal expansion using a level set-based parameterization method

Publication Type:
Conference Proceeding
11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, 2014, pp. 625 - 632
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In this paper, a level set-based parameterization method is proposed to design the three-phase composite material with specified thermal expansion coefficient. The composites are comprised by periodic base cells, and made of a three-phase material (two different material phases and a void phase). The numerical homogenization method is applied to compute effective elastic and thermal expansion properties of the composite based on a finite-element discretization of the base cell. The optimal distribution of material phases within the periodical unit cell is found using level set-based parameterization method under certain constraints, such as elastic symmetry, volume fractions of the constituent phases, and lower limit of bulk modulus. A MATLAB program is developed to conduct the composite material design and the results demonstrate that materials with zero and negative effective thermal expansion coefficients can be achieved by three-phase materials.
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