Smith Jack C
Institute for Materials Research, National Bureau of Standards, Washington, D.C. 20234.
J Res Natl Bur Stand A Phys Chem. 1974 May-Jun;78A(3):355-361. doi: 10.6028/jres.078A.019.
Van der Poel's method (Rheol. Acta 1, 198 (1958)) for calculating the shear modulus of a particulate composite agrees well with experimental data, but its validity has been questioned, and it was applicable only to composites in which the matrix material is incompressible. These limitations are removed in this paper in which an error in the original derivation is corrected, and the method generalized to apply to any matrix material. Calculations using the corrected theory show that despite the error, a table of shear modulus values published with the original theory is sufficiently correct for most practical purposes. Applicability of the generalized method to the large class of composites having compressible matrices is discussed. Shear moduli calculated by the corrected and extended method are compared with corresponding values calculated by other methods currently used.
范德波尔计算颗粒复合材料剪切模量的方法（《流变学学报》1, 198 (1958)）与实验数据吻合良好，但其有效性受到质疑，且仅适用于基体材料不可压缩的复合材料。本文消除了这些局限性，纠正了原始推导中的一个错误，并将该方法推广到适用于任何基体材料。使用修正后的理论进行的计算表明，尽管存在错误，但与原始理论一起发表的剪切模量值表对于大多数实际用途来说足够准确。讨论了广义方法对具有可压缩基体的一大类复合材料的适用性。将通过修正和扩展方法计算得到的剪切模量与目前使用的其他方法计算得到的对应值进行了比较。
