摘要
本文用椭圆抛物面作为复杂应力状态下材料强度的破坏面。这一破坏面模式用某些混凝土双向和三向实验研究资料验证,符合得较好,同时,第一、第四强度理论均可从上述模式中导出。因此,它可以连续描述脆性断裂到塑性流动破坏的完整过程,把脆性与塑性材料的极限强度公式统一在同一方程之中。本文讨论了诸主要强度理论与椭圆抛物面模式的关系。
A proposed elliptic paraboloid is used as a failure surface of materials under multiaxial stresses. The predicated failure criterion has been compared satisfactorily with available experimental data of biaxial and triaxial testa of concrete, and the formulae which express the first and the fourth theories of strength for materials can be derived from the above-mentioned criterion. Thus it may be used to describe the whole process from brittle fracture to plastic failure continuously and can used to unite the strength calculation both for brittle materials and for plastic materials in the same equations. In this paper the relationships bebween this criterion and some main strength theories are also discussed.
关键词
材料力学
椭圆抛物面
强度
应力
Strength of materials, Ultimate strength, Three-dimensional stress, Elliptic paraboloid.
