Evaluation of the effective elastic and conductive properties of a material containing concave pores

详细信息    查看全文

• 作者：Fengjuan Chen^a ; Igor Sevostianov^b ; ^c ; ^{igor@nmsu.edu" class="auth_mail" title="E-mail the corresponding author} ; Albert Giraud^a ; Dragan Grgic^a
• 关键词：Concave pore ; Supersphere ; Effective properties ; Homogenization ; Cross-property connections
• 刊名：International Journal of Engineering Science
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：97
• 期：Complete
• 页码：60-68
• 全文大小：924 K

文摘

We calculate effective properties of a porous material with non-ellipsoidal concave pores. The pore shape is described by equation of a supersphere x2p+y2p+z2p=1$x^{2p}+y^{2p}+z^{2p}=1$ that is convex when p > 0.5 and concave whenp < 0.5. Compliance and resistivity contribution tensors for a superspherical pore are calculated using finite element method and approximated by analytical expressions for p < 1. These tensors are used to evaluate effective elastic and conductive properties of a material with superspherical pores via non-interaction approximation, Mori–Tanaka scheme and Maxwell scheme. We show that the geometrical parameters entering expressions for the elastic moduli and conductivity are the same and establish cross-property connection for such materials. These connections coincide with ones for a material with spherical pores.