Title: A failure mode dependent continuum damage model for laminated composites with optimized model parameters : Application to curved beams Show Chinese title

Title: 具有优化模型参数的层合复合材料失效模式相关连续损伤模型：应用于曲梁

Abstract: In this article, a failure mode dependent and thermodynamically consistent continuum damage model with polynomial-based damage hardening functions is proposed for continuum damage modeling of laminated composite panels. The damage model parameters are characterized based on all uniaxial/shear experimental stress-strain curves. Steepest descent optimization algorithm is used to minimize the difference between model predicted and experimental stress-strain curves to get the optimzed model parameters. The fully characterized damage evolution equations are used for damage prediction of a moderately thick laminated composite curved beam modeled using first-order shear deformation theory. Finite element method with load control is used to get the non-linear algebraic equations which are solved using Newton Raphson method. The developed model is compared with the existing failure mode dependent and failure mode independent damage models. The results depict the efficacy of the proposed model to capture non-linearity in the load vs deflection curve due to stiffness degradation and different damage in tension andcompression consistent with uniaxial/shear stress-strain response and strength properties of the material, respectively. Show Chinese abstract

Abstract: 本文提出了一种与失效模式相关且热力学一致的连续损伤模型，该模型采用基于多项式的损伤硬化函数，用于层合复合板的连续损伤建模。 损伤模型参数是基于所有单轴/剪切实验应力-应变曲线进行表征的。 使用最速下降优化算法来最小化模型预测和实验应力-应变曲线之间的差异，以获得优化的模型参数。 完全表征的损伤演化方程用于利用一阶剪切变形理论建模的中等厚度层合复合曲梁的损伤预测。 使用载荷控制的有限元方法得到非线性代数方程，并通过牛顿-拉夫森方法进行求解。 所开发的模型与现有的与失效模式相关的和与失效模式无关的损伤模型进行了比较。 结果表明，所提出的模型能够有效捕捉由于刚度退化以及在拉伸和压缩中不同的损伤而导致的载荷-挠度曲线中的非线性特性，这些特性分别与材料的单轴/剪切应力-应变响应和强度特性一致。