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An investigation of matrix cracking damage evolution in composite laminates - Development of an advanced numerical tool

机译：复合材料层合板中基体开裂损伤演变的研究-先进数值工具的开发

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摘要

In this study, progressive matrix cracking damage analyses are performed for general symmetric laminate with any number of plies under in-plane tensile/shear loading condition. To predict initiation and evolution of matrix cracking in each layer of such laminate, an advanced numerical tool is developed here. The tool consists of, (ⅰ) a micromechanic-based damage model to find stiffness reduction of the laminate and damage parameters due to the presence of matrix cracking, (ⅱ) an energy-based evolution law to predict initiation and progression of the damage and (ⅲ) a finite element (FE) basement to implement the constitutive damage law analyzing laminates under complex boundary conditions. The stress transfer method is used to find the displacement and stress fields in a unit cell confined between two consecutive matrix cracks. Then, the degradation of elastic constants and damage parameters are calculated for each damaged layer of the laminate. New formulation is also developed to implement the evolution law at integration points to eliminate the length dependency of the energy-based damage criterion. The crack density is used as the only state variable which controls the damage state. An eight node element is developed using the full layerwise plate theory and the damage constitutive law is implemented in the formulation of a user defined element routine in Abaqus commercial software. The developed procedure is validated favorably with published experimental and numerical results for matrix cracking damage mechanism in general symmetric laminates. Concurrent progressive damage analyses in different plies of various laminates are also investigated and some results which are rarely available in the literature are presented in this paper.
机译：在这项研究中，在平面内拉伸/剪切载荷条件下，对具有任意层数的普通对称层压板进行了渐进的基体开裂损伤分析。为了预测这种层压板各层中基体裂纹的产生和发展，这里开发了一种先进的数值工具。该工具包括：（ⅰ）基于基体破裂的微机械损伤模型，以发现层压板的刚度降低和损伤参数；（ⅱ）基于能量的演化规律，以预测损伤的发生和发展；以及（ⅲ）有限元（FE）地下室，用于实现在复杂边界条件下分析层压板的本构损伤定律。应力传递方法用于查找限制在两个连续基体裂纹之间的晶胞中的位移和应力场。然后，针对层压板的每个受损层计算弹性常数的劣化和受损参数。还开发了新的公式，以在积分点处实施演化定律，以消除基于能量的损伤准则的长度依赖性。裂纹密度用作控制损伤状态的唯一状态变量。使用完整的分层板理论开发了八节点元素，并且在Abaqus商业软件中通过用户定义元素例程的制定来实现损伤本构律。所开发的程序得到了已发表的实验结果和数值结果的良好验证，该结果对普通对称层压板的基体开裂损伤机理进行了验证。同时还研究了各种层压板在不同层上的同时进行性损伤分析，并提出了一些文献中很少见的结果。

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