A COMPUTATIONAL APPROACH FOR DETERMINATION OF PARAMETERS IN GENERALIZED MECHANICS
B.E. Abali, H. Yang, and P. Papadopoulos Higher Gradient Materials and Related Generalized Continua, H. Altenbach, W. Mueller and B. Abali (editors), Higher Gradient Materials and Related Generalized Continua, Advanced Structured Materials, \bf120\rm, pp. 1-18, Springer-Verlag, (2019),

Abstract
Metamaterials are functionalized by specifying a structure at a microscopic length scale such that they provide a tailored deformation response at a macroscopic length scale. Their modeling at the macroscale is attained by using the generalized mechanics that incorporates higher gradients of the displacement leading to additional parameters effected by the “inner” structure at the microscale. As these additional parameters are a consequence of the inner structure, we propose a general methodology for determining them by using a computational approach. The inner structure is given and the presented strategy achieves numerical values of all homogenized parameters to be used in the generalized mechanics for modeling a structure at the macroscale.


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