弹性微球复合材料压力-体积曲线的预测
Predicting the pressure-volume curve of an elastic microsphere composite
摘要：
非线性弹性体非均匀材料的有效宏观响应在非线性复合材料和生物软组织等领域有着广泛的应用。本工作的兴趣是与微球复合材料，这是建模为一个矩阵夹杂物复合材料。基体相是均匀的各向同性非线性橡胶状材料，夹杂物相更复杂，由充满气体的刚性薄球壳的尺寸分布组成。实验表明，这种材料在循环载荷下会发生复杂的变形。在这里，我们考虑嵌入在一个无界的主机材料的微球，并假设在“远场”的静水压力。考虑到各种影响，包括屈曲的球壳，大变形的主机相和不断变化的微观结构，我们推导出一个模型预测的压力相对体积变化的负载曲线。基质介质的非线性本构行为占采用新Hookean和Mooney-Rivlin不可压缩模型。此外，通过渐近分析，还得到了无界各向同性均匀超弹性介质中球形空腔在静水压作用下的近似不可压缩解。的负载曲线的预测揭示了强烈的依赖于复合材料的微观结构，包括微球的分布，壳的刚度，和夹杂物的初始体积分数，而只有适度的依赖于用于橡胶主机的非线性弹性模型的特性。
英文摘要：
The effective macroscopic response of nonlinear elastomeric inhomogeneous materials is of great interest in many applications including nonlinear composite materials and soft biological tissues. The interest of the present work is associated with a microsphere composite material, which is modelled as a matrix-inclusion composite. The matrix phase is a homogeneous isotropic nonlinear rubber-like material and the inclusion phase is more complex, consisting of a distribution of sizes of stiff thin spherical shells filled with gas. Experimentally, such materials have been shown to undergo complex deformation under cyclic loading. Here, we consider microspheres embedded in an unbounded host material and assume that a hydrostatic pressure is applied in the "far-field". Taking into account a variety of effects including buckling of the spherical shells, large deformation of the host phase and evolving microstructure, we derive a model predicting the pressure-relative volume change load curves. Nonlinear constitutive behaviour of the matrix medium is accounted for by employing neo-Hookean and Mooney-Rivlin incompressible models. Moreover a nearly-incompressible solution is derived via asymptotic analysis for a spherical cavity embedded in un unbounded isotropic homogeneous hyperelastic medium loaded hydrostatically. The load-curve predictions reveal a strong dependence on the microstructure of the composite, including distribution of microspheres, the stiffness of the shells, and on the initial volume fraction of the inclusions, whereas there is only a modest dependence on the characteristic properties of the nonlinear elastic model used for the rubber host.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
