مؤتمر
Multi-scale simulation of non-linear cellular- and meta-materials with body-force-enhanced second-order homogenisation
| العنوان: | Multi-scale simulation of non-linear cellular- and meta-materials with body-force-enhanced second-order homogenisation |
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| المؤلفون: | Wu, Ling, Segurado, Javier, Mustafa, Syed Mohib, Noels, Ludovic |
| المساهمون: | A&M - Aérospatiale et Mécanique - ULiège, BE |
| المصدر: | The 19th European Mechanics of Materials Conferences (EMMC19), Madrid, Spain [ES], 29-31 May 2024 |
| سنة النشر: | 2024 |
| مصطلحات موضوعية: | Computational homogenisation, Second-order homogenisation, Cellular materials, Meta-materials, FE2, Plasticity, Engineering, computing & technology, Mechanical engineering, Ingénierie, informatique & technologie, Ingénierie mécanique |
| الوصف: | editorial reviewed Multi-scale simulation of lattices, cellular materials and meta-materials faces the difficulty of handling the local instabilities which correspond to a change of the micro-structure morphology. On the one hand, first order computational homogenisation, which considers a classical continuum at the macro-scale, cannot capture localisation bands. On the other hand, second-order computational homogenisation, which considers a higher order continuum at the macro-scale, introduces a size effect with respect to the Representative Volume Element (RVE) size.By reformulating second-order computational homogenisation as an equivalent homogenised volume, non-uniform body forces arise at the micro-scale and act as a supplementary volume term over the RVE. Contrarily to the original uniform body forces resulting from an asymptotic homogenization [1], the devised non-uniform body forces arise from the Hill-Mandel condition and are expressed in terms of the micro-scale strain localization tensor, i.e. the relation between the micro-scale and macro-scale deformation gradients [1]. The consistency and accuracy of the approach are illustrated by simulating non-linear elastic meta-materials and elasto-plastic cellular materials under compressive loading. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 862015.REFERENCES[1] V. Monchiet, N. Auffray, J. Yvonnet, Strain-gradient homogenization: A bridge between the asymptotic expansion and quadratic boundary condition methods, Mechanics of Materials 143 (2020) 103309.[2] L. Wu, S. M. Mustafa, J. Segurado and L. Noels. Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials. Computer Methods in Applied Mechanics Engineering, 407: 115931, 2023. MOAMMM - Multi-scale Optimisation for Additive Manufacturing of fatigue resistant shock-absorbing MetaMaterials 9. Industry, innovation and infrastructure |
| نوع الوثيقة: | conference paper not in proceedings http://purl.org/coar/resource_type/c_18cpTest conferencePaper editorial reviewed |
| اللغة: | English |
| العلاقة: | info:eu-repo/grantAgreement/EC/H2020/862015 |
| الوصول الحر: | https://orbi.uliege.be/handle/2268/319369Test |
| حقوق: | open access http://purl.org/coar/access_right/c_abf2Test info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsorb.319369 |
| قاعدة البيانات: | ORBi |
| الوصف غير متاح. |