This work aims to analyze the effect of a new deformation measure in the response of 2D plates subjected to in-plane loads. The proposed formulation allows to clearly distinguish the energetic contribution of every involved deformation mechanism. The action functional is supposed to depend on a strain, a wryness and a new relative rotation tensor in the nonlinear hypothesis; therefore, the suggested approach seems to have a considerable potential to study granular materials. Some 2D samples characterized by complicated geometries are analyzed by means of the finite element method; parametric analyses are performed to test the role played by each material constant which appears in the new constitutive laws: both isotropic and orthotropic models are investigated.

这项工作旨在分析一种新的变形措施对二维板在面内载荷下的响应的影响。所提出的公式可以清楚地区分每个涉及的变形机制的能量贡献。动作泛函应该取决于非线性假设中的应变、扭曲和新的相对旋转张量；因此，建议的方法在研究粒状材料方面似乎具有相当大的潜力。一些具有复杂几何特征的二维样品采用有限元方法进行分析；执行参数分析以测试出现在新本构定律中的每个材料常数所起的作用：研究了各向同性和正交各向异性模型。