Abstract
In this chapter, the elastic–plastic compliance matrix of an element expressed by the base forces is derived from the material nonlinear model. In this chapter, the elastic–plastic compliance matrix of an element expressed by the base forces is derived from the material nonlinear model. The equilibrium conditions are released by the Lagrange multiplier method, and a modified elastic–plastic complementary energy principle described by the base forces is used. A nonlinear procedure of the BFEM on complementary energy principle is developed using MATLAB language. The numerical results of examples show that this nonlinear model of the BFEM for the material nonlinear problem is feasible.
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Peng, Y., Liu, Y. (2019). Base Force Element Method for Nonlinear Problems of Materials. In: Advances in the Base Force Element Method. Springer, Singapore. https://doi.org/10.1007/978-981-13-5776-3_10
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DOI: https://doi.org/10.1007/978-981-13-5776-3_10
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-5775-6
Online ISBN: 978-981-13-5776-3
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