MUL2-UC Beam modeling of periodically heterogeneous composites

By Alberto Garcia de Miguel

Politecnico di Torino



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The micromechanics code MUL2-UC is developed to work as an efficient and high-fidelity tool for the computation of the effective stiffness matrix and the recovering of the local fields of periodically heterogeneous composite structures. The main novelty is that higher-order beam theories are employed to model the microstructure of composite structures, differing from conventional micromechanics numerical tools which usually make use of 2D/3D finite models to solve the problem. The code implements the Mechanics of Structure Genome (MSG) [1] to decouple the multiscale problem into global and local analyses, and uses the Carrera Unified Formulation (CUF) [2] to generate lower-cost refined beam models to solve the constitutive problem posed by MSG.

The current version of MUL2-UC available here is released on 6/13/2017 on occasion of the Travel Scholarship and Code Competition of the 32nd ASC Technical Conference held in Purdue University, 23-25 October, 2017.


FULLCOMP project through the European Union Horizon 2020 - Marie Sklodowska-Curie grant agreement No. 642121 and Compagnia di San Paolo within the framework of 'Joint Projects for the Internationalization of Research'.


[1] W. Yu. "A Unified Theory for Constitutive Modeling of Composites", Journal of Mechanics of Materials and Structures, vol. 11, no. 4, 2016, pp. 379-411. [2] E. Carrera, A.G. de Miguel and A. Pagani. "Hierarchical theories of structures based on Legendre polynomial expansions with finite element applications", Int'l Journal of Mechanical Sciences, vol. 120, 2017, pp. 286-300.

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Researchers should cite this work as follows:

  • Alberto Garcia de Miguel (2017), "MUL2-UC Beam modeling of periodically heterogeneous composites,"

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