Homogenization in elastodynamics with force term depending on time

Abstract

We extend the study on the homogenization problem for an elastic material containing a distributed array of gas bubbles to the case when the body force depends on time. By technically constructing an approximating sequence, we are able to show the convergence of semigroups and therefore prove the main result that such spongy material can be approximated by an elastic material without holes in the elastodynamics with the force term depending on time.

Keywords

• Elastodynamics
• homogenization
• semigroup..