| Author | Search for: Crochon, T.1; Search for: Li, C.1; Search for: Lévesque, M. |
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| Affiliation | - National Research Council of Canada. NRC Institute for Aerospace Research
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| Format | Text, Article |
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| Conference | 26th Annual Technical Conference of the American Society for Composites 2011 and the 2nd Joint US-Canada Conference on Composites, September 26-28, 2011, Montreal, QC, Canada |
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| Subject | Constitutive theory; Convergence rates; Finite difference; Finite element codes; Integral formulations; Internal variables; Loading history; Original differential equations; Quadratic convergence; Strategy use; Time step; Differential equations; Finite difference method; Loading |
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| Abstract | This paper presents two new strategies for implementing Schapery-type nonlinearly viscoelastic constitutive theories into Finite Element (FE) codes. The first strategy uses the original differential equations that lead to the integral formulation of Schapery-type constitutive theories and Finite Difference (FD) scheme. This strategy is quite different from all the other strategies found in the literature. The second strategy is an improvement of recursive strategies, used by many authors, based on the integral formulation of the constitutive theory. The performances of the new algorithms are compared to that of existing strategies for various loading histories and nonlinearities. It is shown that the newly developed strategy relying on FD schemes can exhibit quadratic convergence rate when one time step is stored and 4th order convergence rate when two time steps are stored, which is a major improvement over the recursive strategies. |
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| Publication date | 2011 |
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| In | |
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| Language | English |
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| Peer reviewed | Yes |
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| NPARC number | 21271958 |
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| Export citation | Export as RIS |
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| Report a correction | Report a correction (opens in a new tab) |
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| Record identifier | bead40bc-ae09-4796-ae9b-dfa6a7024405 |
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| Record created | 2014-05-13 |
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| Record modified | 2020-04-21 |
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