A Statistical Approach to the Study of the Mechanical Behaviour of Porous Materials under Multiaxial State of Stress

概要

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The stress distribution around pores with different shapes in a homogeneous and isotropic material is discussed. If the probability of occurrence of different pore shapes and pore sizes is taken into consideration, a random pore can be mathematically developed. The probability of occurrence of stresses in the material around a random pore is calculated. The resulting stress filed corresponds to the probability of occurrence of stresses in the matrix of the porous material to be studied. The stress field can be analysed. The number of crossings of the stress field with a given level can be studied. The level can be freely chosen and associated with strength of the material. Then the number of crossings indicates the number of microcracks. The method described can be extended to cover the case of three-dimensional pores under biaxial state of stress. The mechanical behaviour of a porous material under biaxial state of stress can be described with this statistical approach. Results are compared with data taken from experiments. The mathematical treatment can also be applied to describe the creep process of a porous material under complex state of stress.
社団法人日本材料学会の論文
1974-01-15