A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
The asymmetric tensile/compressive material behavior and microcracks closure-reopening (MCR) effects exhibited by quasi-brittle solids are of significant importance to the nonlinear responses of engineering structures under cyclic loading, e.g., earthquake excitations. Based on our previous work (Ce...
| Authors: | ; |
|---|---|
| Format: | Article |
| Publication date: | 2018 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/117030 |
| Online Access: | https://hdl.handle.net/2117/117030 https://dx.doi.org/10.1016/j.ijsolstr.2018.02.004 |
| Access Level: | Open access |
| Keyword: | Concrete--Cracking Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects Formigó -- Fractures Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó |
| _version_ | 1878730532934647808 |
|---|---|
| author | Wu, Jian-Ying |
| author2 | Cervera Ruiz, Miguel|||0000-0003-3437-6703 |
| author2_role | author |
| author_browse | Cervera Ruiz, Miguel|||0000-0003-3437-6703 Wu, Jian-Ying |
| author_facet | Wu, Jian-Ying Cervera Ruiz, Miguel|||0000-0003-3437-6703 |
| author_role | author |
| collection | UPCommons. Portal del coneixement obert de la UPC |
| description | The asymmetric tensile/compressive material behavior and microcracks closure-reopening (MCR) effects exhibited by quasi-brittle solids are of significant importance to the nonlinear responses of engineering structures under cyclic loading, e.g., earthquake excitations. Based on our previous work (Cervera et al., 1995; Faria et al., 1998; Wu et al., 2006) this work addresses a novel thermodynamically consistent unilateral damage model for concrete. In particular, the positive/negative projection (PNP) of the effective stress tensor and the additive bi-scalar damage constitutive relation are maintained owing to the conceptual simplicity and computational efficiency. It is found that the classical PNP widely adopted in the literature is not optimal for this damage model, since the resulting stiffness is not always of major symmetry. Consequently, a well-defined free energy potential does not exist in general cases and the model cannot be cast into the framework of thermodynamics with internal variables. Furthermore, the damage induced anisotropy cannot be captured, exhibiting excessive lateral deformations under uniaxial tension. To overcome the above issues, a novel PNP, variationally interpreted as the closest point projection of the effective stress in energy norm, is proposed with closed-form solution. With the novel PNP, the secant stiffness tensor of the proposed unilateral damage model always possesses major symmetry and exhibits orthotropic behavior under uniaxial tension and mixed tension/compression. The corresponding thermodynamics framework is then given, resulting in an energy release rate based rounded-Rankine type damage criterion appropriate for tensile failure in quasi-brittle solids. Several numerical examples of single-point verifications and benchmark tests are presented. It is demonstrated that the proposed model is capable of characterizing localized failure of concrete under proportional and non-proportional static loading, as well as the MCR effects under seismic cyclic loading. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_1e3b08bcc3eebb3f97eebbf41bb6ac7d |
| institution | Universitat Politècnica de Catalunya (UPC) |
| instname_str | Universitat Politècnica de Catalunya (UPC) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:upcommons.upc.edu:2117/117030 |
| publishDate | 2018 |
| publishDateSort | 2018 |
| reponame_str | UPCommons. Portal del coneixement obert de la UPC |
| spelling | A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids Wu, Jian-Ying Cervera Ruiz, Miguel|||0000-0003-3437-6703 Concrete--Cracking Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects Formigó -- Fractures Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó The asymmetric tensile/compressive material behavior and microcracks closure-reopening (MCR) effects exhibited by quasi-brittle solids are of significant importance to the nonlinear responses of engineering structures under cyclic loading, e.g., earthquake excitations. Based on our previous work (Cervera et al., 1995; Faria et al., 1998; Wu et al., 2006) this work addresses a novel thermodynamically consistent unilateral damage model for concrete. In particular, the positive/negative projection (PNP) of the effective stress tensor and the additive bi-scalar damage constitutive relation are maintained owing to the conceptual simplicity and computational efficiency. It is found that the classical PNP widely adopted in the literature is not optimal for this damage model, since the resulting stiffness is not always of major symmetry. Consequently, a well-defined free energy potential does not exist in general cases and the model cannot be cast into the framework of thermodynamics with internal variables. Furthermore, the damage induced anisotropy cannot be captured, exhibiting excessive lateral deformations under uniaxial tension. To overcome the above issues, a novel PNP, variationally interpreted as the closest point projection of the effective stress in energy norm, is proposed with closed-form solution. With the novel PNP, the secant stiffness tensor of the proposed unilateral damage model always possesses major symmetry and exhibits orthotropic behavior under uniaxial tension and mixed tension/compression. The corresponding thermodynamics framework is then given, resulting in an energy release rate based rounded-Rankine type damage criterion appropriate for tensile failure in quasi-brittle solids. Several numerical examples of single-point verifications and benchmark tests are presented. It is demonstrated that the proposed model is capable of characterizing localized failure of concrete under proportional and non-proportional static loading, as well as the MCR effects under seismic cyclic loading. Peer Reviewed https://hdl.handle.net/2117/117030 https://dx.doi.org/10.1016/j.ijsolstr.2018.02.004 |
| spellingShingle | A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids Wu, Jian-Ying Concrete--Cracking Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects Formigó -- Fractures Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó |
| title | A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids |
| title_full | A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids |
| title_fullStr | A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids |
| title_full_unstemmed | A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids |
| title_short | A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids |
| title_sort | A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids |
| topic | Concrete--Cracking Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects Formigó -- Fractures Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó |
| topic_facet | Concrete--Cracking Damage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects Formigó -- Fractures Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Materials i estructures de formigó |
| url | https://hdl.handle.net/2117/117030 https://dx.doi.org/10.1016/j.ijsolstr.2018.02.004 |