A mathematical model for the failure of cement paste and mortars

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Abstract
Summary It is suggested that structural models have only a limited use in a study of failure and an alternative mathematical model is proposed which behaves, in many ways, like hardened cement paste or mortar. The model is similar to Volkov's normal micro-inhomogeneous material, the major difference being in the failure criteria used at the microscopic level. The behaviour of the model material in simple tension is studied and it is shown that progressive fracture, or micro-cracking, occurs during all stages of loading. The mode of failure depends upon the method of test because either the material fails when the maximum stress is reached or progressive fracture continues with increased deformation and a reduction in applied stress. In addition, a ductile mode of failure is investigated and it appears that, in contrast to brittle fracture, the ultimate strength may be almost unaffected by micro-inhomogeneity.

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