Academic Journal
On the representation of fourth and higher order anisotropic elasticity tensors in generalized continuum models
| العنوان: | On the representation of fourth and higher order anisotropic elasticity tensors in generalized continuum models |
|---|---|
| المؤلفون: | Valerio d'Agostino, Marco, Martin, Robert, J, Lewintan, Peter, Bernardini, Davide, Danescu, Alexandre, Neff, Patrizio |
| المساهمون: | Géomécanique, Matériaux et Structures (GEOMAS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA), Universität Duisburg-Essen = University of Duisburg-Essen Essen, Università degli Studi di Roma "La Sapienza" = Sapienza University Rome (UNIROMA), INL - Matériaux Fonctionnels et Nanostructures (INL - MFN), Institut des Nanotechnologies de Lyon (INL), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-École Supérieure de Chimie Physique Électronique de Lyon (CPE)-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | ISSN: 1081-2865 ; Mathematics and Mechanics of Solids ; https://hal.science/hal-04391796 ; Mathematics and Mechanics of Solids, In press. |
| بيانات النشر: | HAL CCSD SAGE Publications |
| سنة النشر: | 2024 |
| المجموعة: | HAL Lyon 1 (University Claude Bernard Lyon 1) |
| مصطلحات موضوعية: | representation theory group action character elasticity tensor material symmetries relaxed micromorphic model generalized continua AMS 2010 subject classification: 20C (representation theory of groups) 58D19 (group actions and symmetry properties) 20C15 (ordinary representations and characters) 74A30 (nonsimple materials) 74A60 (micromechanical theories) 74B05 (classical linear elasticity) 74M25 (micromechanics) 74Q15 (effective constitutive equations), representation theory, group action, character, elasticity tensor, material symmetries, relaxed micromorphic model, generalized continua AMS 2010 subject classification: 20C (representation theory of groups), 58D19 (group actions and symmetry properties), 20C15 (ordinary representations and characters), 74A30 (nonsimple materials), 74A60 (micromechanical theories), 74B05 (classical linear elasticity), 74M25 (micromechanics), 74Q15 (effective constitutive equations), [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], [PHYS.MECA]Physics [physics]/Mechanics [physics] |
| الوصف: | International audience ; The classification of all fourth order anisotropic tensor classes for classical linear elasticity is well known. We review the mathematical procedure behind this classification and extend it to fourth order elasticity tensors acting on non-symmetric matrices. These tensors naturally appear in generalised continuum models. Based on tensor-symmetrization we provide the most general form of these tensors for the case of orthotropic, transversely isotropic, cubic and isotropic materials. We give a self-contained presentation and provide a detailed calculation for simple examples. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-04391796; https://hal.science/hal-04391796; https://hal.science/hal-04391796/document; https://hal.science/hal-04391796/file/Representation_final_2.pdf |
| الاتاحة: | https://hal.science/hal-04391796 https://hal.science/hal-04391796/document https://hal.science/hal-04391796/file/Representation_final_2.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.35C8B72E |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |