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An elasto-plastic damage model for functionally graded plates with in-plane material properties variation: Material model and numerical implementation

机译：具有面内材料特性变化的功能梯度板的弹塑性损伤模型：材料模型和数值实现

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The paper presents an elasto-plastic damage model based on irreversible thermodynamics for the analysis of functionally graded (FG) plates with in-plane material properties variations. The model considers a simple power law function to describe the FG plates as continua with smooth variation of material properties, such as Young's Modulus, yield stress, plastic material constants and damage parameters. By introducing two independent plastic and damage multipliers, the model is applicable to different types of materials. Employing the operator splitting methodology, a three-step predictor/multi-corrector algorithm is developed that includes an elastic predictor, a plastic corrector, and a damage corrector. Then, the damage finite element (FE) solutions are obtained using linear hexahedral solid elements with spatially graded property distribution (at different Gauss points), and subsequently implemented by a user material subroutine (UMAT) in the ABAQUS FE software. Good agreement is shown between the analytical damage models, the FE solutions and experimental results sourced from the literature. Several numerical examples establish that the present model is not only accurate, but provides a simple approach to predicting damage of different types of materials, including those that demonstrate both elastic-brittle damage and elasto-plastic damage behaviours. Moreover, the presented model effectively describes the continuum damage of FG plates, capturing variation of the damage variable throughout the plane of the plate. (C) 2016 Elsevier Ltd. All rights reserved.
机译：本文提出了一种基于不可逆热力学的弹塑性损伤模型，用于分析具有平面内材料特性变化的功能梯度（FG）板。该模型考虑了一个简单的幂定律函数，将FG板描述为连续体，并具有平滑的材料特性变化，例如杨氏模量，屈服应力，塑性材料常数和损伤参数。通过引入两个独立的塑料乘数和损伤乘数，该模型适用于不同类型的材料。利用操作员拆分方法，开发了三步预测器/多重校正器算法，该算法包括弹性预测器，塑性校正器和损伤校正器。然后，使用具有空间上渐变的属性分布（在不同的高斯点处）的线性六面体实体元素获得损伤有限元（FE）解，然后由ABAQUS FE软件中的用户材料子例程（UMAT）实施。分析损伤模型，有限元解和从文献中获得的实验结果之间显示出良好的一致性。几个数值例子表明，本模型不仅准确，而且提供了一种简单的方法来预测不同类型材料的损坏，包括那些既显示弹性脆性损坏又显示弹塑性损坏行为的材料。此外，提出的模型有效地描述了FG板的连续损伤，捕获了整个板平面上损伤变量的变化。 （C）2016 Elsevier Ltd.保留所有权利。

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