The statistical second-order two-scale method for thermomechanical properties of statistically inhomogeneous materials |
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Authors: | Fei Han Junzhi Cui Yan Yu |
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Affiliation: | aDepartment of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China;bAcademy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
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Abstract: | A statistical second-order two-scale (SSOTS) method is established in a constructive way for predicting the thermomechanical properties of statistically inhomogeneous materials. For this kind of composite materials, the complicated micro-characteristics of inclusions, including their shape, size, orientation, spatial distribution, volume fraction and/or material properties and so on, lead to changes of the macroscopic thermomechanical properties, such as stiffness, coefficient of thermal expansion and strength of material. In this paper, a statistical model at an arbitrary position of the composite material is defined to represent the microstructure of the statistically inhomogeneous media at first. And then, the statistical second-order two-scale analysis formulation is derived. Finally, the numerical results for some statistically inhomogeneous composites are calculated by SSOTS algorithm, and compared with the data by experimental and theoretical methods. |
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Keywords: | Thermomechanical properties Statistically inhomogeneous materials Statistical second-order two-scale method |
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