Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis
This paper reports the development of reduced basis approximations, rigorous a posteriori error bounds, and offline-online computational procedures for the accurate, fast and reliable predictions of stress intensity factors or strain energy release rate for “Mode I” linear elastic crack problem. We...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
2007
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| Subjects: | |
| Online Access: | http://hdl.handle.net/1721.1/35824 |
| _version_ | 1826193799198539776 |
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| author | Huynh, Dinh Bao Phuong Peraire, Jaime Patera, Anthony T. Liu, Guirong |
| author_facet | Huynh, Dinh Bao Phuong Peraire, Jaime Patera, Anthony T. Liu, Guirong |
| author_sort | Huynh, Dinh Bao Phuong |
| collection | MIT |
| description | This paper reports the development of reduced
basis approximations, rigorous a posteriori error bounds, and offline-online computational procedures for the accurate, fast and reliable predictions of stress intensity factors or strain energy release rate for “Mode I” linear elastic crack problem. We demonstrate the efficiency and rigor of our numerical method in several examples. We apply our method to a practical failure design application. |
| first_indexed | 2024-09-23T09:45:35Z |
| format | Article |
| id | mit-1721.1/35824 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:45:35Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | mit-1721.1/358242019-04-12T08:35:47Z Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis Huynh, Dinh Bao Phuong Peraire, Jaime Patera, Anthony T. Liu, Guirong Reduced Basis Approximation A Posteriori Error Estimation Offline-Online Procedures Fracture Mechanics Stress Intensity Factor Energy Release Rate Linear Elasticity Finite Element Method Quadratic Outputs This paper reports the development of reduced basis approximations, rigorous a posteriori error bounds, and offline-online computational procedures for the accurate, fast and reliable predictions of stress intensity factors or strain energy release rate for “Mode I” linear elastic crack problem. We demonstrate the efficiency and rigor of our numerical method in several examples. We apply our method to a practical failure design application. Singapore-MIT Alliance (SMA) 2007-01-31T14:46:10Z 2007-01-31T14:46:10Z 2007-01 Article http://hdl.handle.net/1721.1/35824 en Computational Engineering (CE) 266649 bytes application/pdf application/pdf |
| spellingShingle | Reduced Basis Approximation A Posteriori Error Estimation Offline-Online Procedures Fracture Mechanics Stress Intensity Factor Energy Release Rate Linear Elasticity Finite Element Method Quadratic Outputs Huynh, Dinh Bao Phuong Peraire, Jaime Patera, Anthony T. Liu, Guirong Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis |
| title | Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis |
| title_full | Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis |
| title_fullStr | Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis |
| title_full_unstemmed | Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis |
| title_short | Reduced Basis Approximation and A Posteriori Error Estimation for Stress Intensity Factors: Application to Failure Analysis |
| title_sort | reduced basis approximation and a posteriori error estimation for stress intensity factors application to failure analysis |
| topic | Reduced Basis Approximation A Posteriori Error Estimation Offline-Online Procedures Fracture Mechanics Stress Intensity Factor Energy Release Rate Linear Elasticity Finite Element Method Quadratic Outputs |
| url | http://hdl.handle.net/1721.1/35824 |
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