It has been a long-standing problem in the engineering design of bra for optimal support and shaping due to the difficulty of quantifying the hyper-elastic properties of human breasts. The objective of this study is to determine an optimal approach to obtain the non-linear properties of breast soft tissues and the corresponding deformations during motions. The Mooney-Rivlin material parameters of the breasts in-vivo were verified through an optimization process that involved iteratively changing the material coefficients with the integration of static and dynamic finite element models. Theoretical equations of a rigid-flexible coupled system during the motion of forward-leaning were established with gravitational, centrifugal and Coriolis forces to simulate the dynamic deformation of the flexible breasts. The resultant, optimally generated, coefficients of the Mooney-Rivlin hyperelastic material type for the breast were found. This new set of breast material coefficients was verified by finite element analysis of the breast deformation during forward-leaning and running movement. The method proposed in this study provides an effective way to determine the breast properties for predicting breast deformation and analysis of the bra-breast contact mechanism and thus, improving the design of bras.

由于难以量化人的乳房的超弹性，这在胸罩的工程设计中一直存在着长期的问题，以达到最佳支撑和定型的目的。这项研究的目的是确定一种最佳方法，以获得乳房软组织的非线性特性以及运动过程中的相应变形。通过优化过程验证了体内乳房的Mooney-Rivlin材料参数，该过程涉及通过静态和动态有限元模型的集成来迭代地更改材料系数。利用重力，离心力和科里奥利力建立了刚柔耦合系统在前倾运动过程中的理论方程，以模拟挠性乳房的动态变形。最佳生成的结果 找到了门尼-里夫林超弹性材料类型对乳房的系数。通过对前倾和跑步运动期间乳房变形的有限元分析，验证了这组新的乳房材料系数。这项研究中提出的方法提供了一种有效的方法来确定乳房的性质，以预测乳房的变形并分析胸罩与乳房的接触机理，从而改善胸罩的设计。