A nonlinear optimization procedure is established to determine the elastic modulus of slender, soft materials using beams with unknown initial curvature in the presence of large rotations. Specifically, the deflection of clamped-free beams under self-weight - measured at different orientations with respect to gravity - is used to determine the modulus of elasticity and the intrinsic curvature in the unloaded state. The approach is validated with experiments on a number of different materials - steel, polyetherimide, rubber and pig skin. Since the loading is limited to self-weight, the strain levels attained in these tests are small enough to assume a linear elastic material behavior. This nondestructive methodology is also applicable to engineered tissues and extremely delicate materials in order to obtain a quick estimate of the material's elastic modulus.

中文翻译：

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用未知初始曲率梁评价软材料弹性模量

建立了非线性优化程序，以在存在大旋转的情况下使用具有未知初始曲率的梁来确定细长、软材料的弹性模量。具体来说，在自重下自由夹紧梁的挠度 - 在相对于重力的不同方向测量 - 用于确定弹性模量和卸载状态下的固有曲率。该方法已通过对多种不同材料（钢、聚醚酰亚胺、橡胶和猪皮）的实验得到验证。由于载荷仅限于自重，因此在这些测试中获得的应变水平小到足以假设线性弹性材料行为。这种无损方法也适用于工程组织和极其精细的材料，以便快速评估材料。