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To contribute to this knowledge gap, this paper adopts a higher-order asymptotic homogenization method to numerically investigate the effect of complex micropore morphology on the effective mechanical properties of a porous system. Specifically, we use the second-order scheme that is an extension of the first-order computational homogenization framework, where a generalized continuum enables us to introduce length scale into the material constitutive law and capture both pore size and pore distribution. Through several numerical case studies with different combinations of porosity, pore shapes, and distributions, we systematically studied the relationship between the underlying morphology and effective mechanical properties. The results highlight the necessity of higher-order homogenization in understanding the mechanical properties and reveal that higher-order parameters are required to capture the role of realistic pore morphologies on effective mechanical properties. Furthermore, for specific pore shapes, higher-order parameters exhibit dominant influence over the first-order continuum.<\/jats:p>","DOI":"10.1007\/s00366-021-01555-9","type":"journal-article","created":{"date-parts":[[2021,12,15]],"date-time":"2021-12-15T05:02:35Z","timestamp":1639544555000},"page":"5051-5067","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Mechanical analysis of heterogeneous materials with higher-order parameters"],"prefix":"10.1007","volume":"38","author":[{"given":"Bozo","family":"Vazic","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bilen Emek","family":"Abali","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hua","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4038-4550","authenticated-orcid":false,"given":"Pania","family":"Newell","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,12,15]]},"reference":[{"key":"1555_CR1","doi-asserted-by":"crossref","unstructured":"Abali BE, Barchiesi E (2020) Additive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenization. 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