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中文摘要：
对经典突变理论进行延伸，提出了一种新的、适用于准脆性介质的突变理论，认为结构非线性失稳源自于自身本构关系。将新提出的突变理论应用到桩基工程，对灌注混凝土端承桩的破坏机制进行了探索，明确了端承桩的失效模式为失稳破坏模式，并给出了其失稳的数学、力学判据和承载力计算公式。以两个实际工程为例，将理论值与实测值进行比较，二者吻合较好。鉴于灌注混凝土端承桩延性、脆性破坏难以区分的实际情况，该文同时给出了端承桩延性破坏和脆性破坏的界定标准，并提出了相应的工程建议。
英文摘要：
A new type of catastrophe theory of quasi-brittle materials is proposed. The essence of the new type of theory is that the nonlinear instability of the structure is derived from its own constitutive relationship. Then the new type of theory is applied to the cast-in-place end bearing pile for exploring its failure modes. Obviously, the failure of end bearing piles is caused by the nonlinear instability. Furthermore, the failure mechanism of end bearing piles is introduced and the mathematical and mechanical criteria are presented. At last, two examples are analyzed for validation of the new type of theory. Just as expected, the theoretical results agree well with the experimental ones. Besides, some suggestions are given to distinguish ductile and brittle failure of end bearing piles.
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