Academic Journal
On the equivalence between traction- and stress-based approaches for the modeling of localized failure in solids
| العنوان: | On the equivalence between traction- and stress-based approaches for the modeling of localized failure in solids |
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| المؤلفون: | Wu, Jian-Ying, Cervera Ruiz, Miguel |
| المساهمون: | Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria, Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria |
| سنة النشر: | 2015 |
| المجموعة: | Universitat Politècnica de Catalunya (UPC): Tesis Doctorals en Xarxa (TDX) / Theses and Dissertations Online |
| مصطلحات موضوعية: | Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures, Plasticity--Mathematical models, Localized failure, Strain localization, Constitutive behavior, Discontinuities, Fracture, Plasticity, Damage, Strong discontinuity approach, Finite-elements, Damage model, Tensile cracking, Cohesive cracks, Numerical-simulation, Fracture-mechanics, Plane-strain, Process zone, Plasticitat -- Models matemàtics |
| الوصف: | This work investigates systematically traction- and stress-based approaches for the modeling of strong and regularized discontinuities induced by localized failure in solids. Two complementary methodologies, i.e., discontinuities localized in an elastic solid and strain localization of an inelastic softening solid, are addressed. In the former it is assumed a priori that the discontinuity forms with a continuous stress field and along the known orientation. A traction-based failure criterion is introduced to characterize the discontinuity and the orientation is determined from Mohr's maximization postulate. If the displacement jumps are retained as independent variables, the strong/regularized discontinuity approaches follow, requiring constitutive models for both the bulk and discontinuity. Elimination of the displacement jumps at the material point level results in the embedded/smeared discontinuity approaches in which an overall inelastic constitutive model fulfilling the static constraint suffices. The second methodology is then adopted to check whether the assumed strain localization can occur and identify its consequences on the resulting approaches. The kinematic constraint guaranteeing stress boundedness and continuity upon strain localization is established for general inelastic softening solids. Application to a unified stress-based elastoplastic damage model naturally yields all the ingredients of a localized model for the discontinuity (band), justifying the first methodology. Two dual but not necessarily equivalent approaches, Le., the traction-based elastoplastic damage model and the stress-based projected discontinuity model, are identified. The former is equivalent to the embedded and smeared discontinuity approaches, whereas in the later the discontinuity orientation and associated failure criterion are determined consistently from the kinematic constraint rather than given a priori. The bidirectional connections and equivalence conditions between the traction- and stress-based approaches are ... |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | 27 p. |
| اللغة: | English |
| ردمك: | 978-0-02-250961-3 0-02-250961-5 |
| تدمد: | 0022-5096 |
| Relation: | http://www.sciencedirect.com/science/article/pii/S0022509615001210; Wu, J., Cervera, M. On the equivalence between traction- and stress-based approaches for the modeling of localized failure in solids. "Journal of the mechanics and physics of solids", Setembre 2015, vol. 82, p. 137-163.; http://hdl.handle.net/2117/78534 |
| DOI: | 10.1016/j.jmps.2015.05.016 |
| الاتاحة: | http://hdl.handle.net/2117/78534 https://doi.org/10.1016/j.jmps.2015.05.016 |
| Rights: | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ ; Open Access |
| رقم الانضمام: | edsbas.C137D19B |
| قاعدة البيانات: | BASE |
| ردمك: | 9780022509613 0022509615 |
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| تدمد: | 00225096 |
| DOI: | 10.1016/j.jmps.2015.05.016 |