کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
825287 1470025 2011 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Elastic moduli of solids containing spheroidal pores
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Elastic moduli of solids containing spheroidal pores
چکیده انگلیسی

We use asymptotic approximations for the elastic compliances (P, Q) of a spheroidal pore as input in the differential effective medium scheme to derive approximate analytical expressions for the effective moduli of an isotropic solid containing randomly oriented spheroids. The approximations are valid for crack-like pores having aspect ratios α as high as 0.3, needle-like pores having aspect ratios as low as 3, and nearly spherical pores (0.7 < α < 1.3). Analytical solutions for the differential scheme have previously only been available for the limiting cases of infinitely thin-cracks (α = 0) and spherical pores (α = 1). The relatively simple approximations found between the limiting cases can account for more realistic pore shapes, and are valid for a wide range of porosities. The behaviour of the effective Poisson’s ratio in the high concentration limit shows that ν is bounded between the Poisson’s ratio of the solid and a fixed point νc that only depends on the aspect ratio of the pores. The asymptotic expressions for P and Q can also successfully be used as input in any other effective medium theory, such as the Mori–Tanaka or Kuster–Toksoz schemes. The relatively simple expressions found for the various effective medium schemes, as well as the bounds found for the effective Poisson’s ratio, will be useful to simplify the process of inversion of elastic velocities in porous solids.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Engineering Science - Volume 49, Issue 7, July 2011, Pages 544–560
نویسندگان
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