Abstract
In this paper, the deformation reinforcement theory (DRT) proposed by the authors is elaborated with a new definition of instability that an elasto-plastic structure is not stable if it cannot satisfy simultaneously equilibrium condition, kinematical admissibility and constitutive equations under the prescribed loading. Starting from the definition, a proof is established to the principle of minimum plastic complementary energy for failured structures. It is revealed that the principle of minimum plastic complementary energy results in relaxed constitutive equations, especially, yield conditions. It is demonstrated with case studies that many key issues in arch dam design, e.g., global stability, dam-toe reinforcement, dam-toe cracking, dam-abut- ment reinforcement, can be well solved within the framework of the deformation reinforcement theory. The structural global stability can be described by the curve of the plastic complementary energy vs overloading factor. The unbalanced-forces obtained by elasto-plastic FEM can be used as the basis of analysis of global stability, dam-heel cracking, dam-toe anchorage and reinforcement of faults of high arch dams and their foundations.
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Supported by the National Natural Science Foundation of China (Grant No. 50709014) and the Special Funds for Major State Basic Research Projects of China (Grant No. 2009CB724604)
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Yang, Q., Liu, Y., Chen, Y. et al. Deformation reinforcement theory and its application to high arch dams. Sci. China Ser. E-Technol. Sci. 51 (Suppl 2), 32–47 (2008). https://doi.org/10.1007/s11431-008-6016-z
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DOI: https://doi.org/10.1007/s11431-008-6016-z