The effects of heterogeneous mechanical properties on the response of a ductile material

Abstract We investigate numerically the small-strain, elastic–plastic response of statistically isotropic materials with non-uniform spatial distributions of mechanical properties. The numerical predictions are compared to simple bounds derived analytically. We explore systematically the effects of...

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Autores principales:	Yichi Song, Andreas Schiffer, Vito L. Tagarielli
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/96b24f2b16984f84b6529b762b51ac04
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spelling	oai:doaj.org-article:96b24f2b16984f84b6529b762b51ac042021-12-02T18:02:15ZThe effects of heterogeneous mechanical properties on the response of a ductile material10.1038/s41598-021-97495-x2045-2322https://doaj.org/article/96b24f2b16984f84b6529b762b51ac042021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-97495-xhttps://doaj.org/toc/2045-2322Abstract We investigate numerically the small-strain, elastic–plastic response of statistically isotropic materials with non-uniform spatial distributions of mechanical properties. The numerical predictions are compared to simple bounds derived analytically. We explore systematically the effects of heterogeneity on the macroscopic stiffness, strength, asymmetry, stability and size dependence. Monte Carlo analyses of the response of statistical volume elements are conducted at different strain triaxiality using computational homogenisation, and allow exploring the macroscopic yield behaviour of the heterogeneous material. We illustrate quantitatively how the pressure-sensitivity of the yield surface of the solid increases with heterogeneity in the elastic response. We use the simple analytical models developed here to derive an approximate scaling law linking the fatigue endurance threshold of metallic alloys to their stiffness, yield strength and tensile strength.Yichi SongAndreas SchifferVito L. TagarielliNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-17 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Yichi Song Andreas Schiffer Vito L. Tagarielli The effects of heterogeneous mechanical properties on the response of a ductile material
description	Abstract We investigate numerically the small-strain, elastic–plastic response of statistically isotropic materials with non-uniform spatial distributions of mechanical properties. The numerical predictions are compared to simple bounds derived analytically. We explore systematically the effects of heterogeneity on the macroscopic stiffness, strength, asymmetry, stability and size dependence. Monte Carlo analyses of the response of statistical volume elements are conducted at different strain triaxiality using computational homogenisation, and allow exploring the macroscopic yield behaviour of the heterogeneous material. We illustrate quantitatively how the pressure-sensitivity of the yield surface of the solid increases with heterogeneity in the elastic response. We use the simple analytical models developed here to derive an approximate scaling law linking the fatigue endurance threshold of metallic alloys to their stiffness, yield strength and tensile strength.
format	article
author	Yichi Song Andreas Schiffer Vito L. Tagarielli
author_facet	Yichi Song Andreas Schiffer Vito L. Tagarielli
author_sort	Yichi Song
title	The effects of heterogeneous mechanical properties on the response of a ductile material
title_short	The effects of heterogeneous mechanical properties on the response of a ductile material
title_full	The effects of heterogeneous mechanical properties on the response of a ductile material
title_fullStr	The effects of heterogeneous mechanical properties on the response of a ductile material
title_full_unstemmed	The effects of heterogeneous mechanical properties on the response of a ductile material
title_sort	effects of heterogeneous mechanical properties on the response of a ductile material
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/96b24f2b16984f84b6529b762b51ac04
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The effects of heterogeneous mechanical properties on the response of a ductile material

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