CC BY-NC-ND 4.0 UnportedHeida, Martin2023-03-012023-03-012022https://oa.tib.eu/renate/handle/123456789/11624http://dx.doi.org/10.34657/10657Based on a recent work that exposed the lack of uniformly bounded (Formula presented.) extension operators on randomly perforated domains, we study stochastic homogenization of nonlinear p-elasticity, (Formula presented.), on such structures using instead the extension operators constructed in former works. We thereby introduce two-scale convergence methods on such random domains under the intrinsic loss of regularity and prove some generally useful calculus theorems on the probability space, for example, abstract Gauss theorems.enghttps://creativecommons.org/licenses/by-nc-nd/4.0510530Elasticity modelingExtension operatorsIntrinsic lossNonlinear elasticityPerforated domainProbability spacesRandom domainsStochastic homogenizationTwo scale convergenceUniformly boundedArticle