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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