Schneider, MattiMattiSchneiderKabel, MatthiasMatthiasKabel2022-03-132022-03-132014https://publica.fraunhofer.de/handle/publica/398448The numerical computation of effective elastic properties of heterogeneous materials using the Lippmann-Schwinger equation in elasticity becomes problematic in the presence of pores. Under mild conditions on the interface of the pore the Lippmann-Schwinger equation is well-posed, but ill-conditioned. Introducing a fictitious soft material renders the problem well-conditioned again. We will discuss the exact rate of convergence of these regularized problems to the porous problem.en003006519The Lippmann-Schwinger equation in elasticity for porous mediaconference paper