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Incremental Approach to the Finite Deflection Problem of Thin Elastic Plates Via Boundary-Domain-Element Method

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IABEM Symposium on Boundary Integral Methods for Nonlinear Problems

Abstract

Several boundary element approaches have been so far proposed for solving the finite deflection problem of thin elastic plates. For the problem considering the von-Kármántype geometrical nonlinearity, there are available two integral equation formulations. First one is such that a set of integral equations are derived in terms of the stress function and the out-of-planc displacement or their increments, and then they are solved iteratively or incrementally by introducing the standard boundary element method [1]–[3]. The other one is to formulate the same problem in terms of the three displacement components and to implement it via the boundary element method [3],[4].

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© 1997 Springer Science+Business Media Dordrecht

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Tanaka, M., Matsumoto, T., Zheng, Z. (1997). Incremental Approach to the Finite Deflection Problem of Thin Elastic Plates Via Boundary-Domain-Element Method. In: Morino, L., Wendland, W.L. (eds) IABEM Symposium on Boundary Integral Methods for Nonlinear Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5706-3_32

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  • DOI: https://doi.org/10.1007/978-94-011-5706-3_32

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6406-4

  • Online ISBN: 978-94-011-5706-3

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