This study proposes an enhanced formulation of Ordinary-State based peridynamic which can model functionally graded materials (FGMs) with sharp jumps in material properties through introducing a novel peridynamic parameter, referred to as the dominancy rate. The current formulation takes into account the multi-scale nature of peridynamics as well as the material transition (interface) effects. As a result of extensive comparison efforts with FEM literature, traditional peridynamics, and ANSYS, this study reveals that the properties of a PD-bond should not be equally affected by the properties of the constituent points in modeling FGMs. Additionally, it is found that the correctness of the results is negatively influenced if the bond properties are determined using only one of the weaker or stronger constituent point. Moreover, a better accuracy is achieved, specially at the material transition regions, through considering that the properties of the bonds are mostly dependent on that of the weaker constituent point. It is also observed that the current approach can model FGMs with higher accuracy using lower number of material points as compared to the traditional PD. Finally, To Further demonstrate the capability of the proposed model, a numerically validated toughening mechanism against crack propagations is presented for FGMs. It is found that the local toughness of FGMs can be effectively enhanced by tailoring the location and material properties of the sub-regions.

这项研究提出了一种基于普通状态的周向动力学的增强公式，该模型可以通过引入一种新的周向动力学参数（称为优势率）来对材料特性急剧变化的功能梯度材料（FGM）进行建模。当前的公式考虑了周边动力学的多尺度性质以及材料转变（界面）效应。由于与FEM文献，传统的绕动力学和ANSYS进行了广泛的比较，这项研究表明，在FGM建模中，PD键的特性不应受到组成点特性的同等影响。另外，发现如果仅使用较弱或较强的组成点之一确定键的性质，则结果的正确性受到负面影响。而且，通过考虑键的性质主要取决于弱组成点的性质，可以获得更好的精度，特别是在材料过渡区域。还可以观察到，与传统的PD相比，当前的方法可以使用更少的材料点以更高的精度对FGM建模。最后，为进一步证明所提出模型的功能，提出了一种针对FGM的抗裂纹扩展的数值验证增韧机制。研究发现，通过调整次区域的位置和材料特性，可以有效地增强女性生殖器官的局部韧性。还可以观察到，与传统的PD相比，当前的方法可以使用更少的材料点以更高的精度对FGM进行建模。最后，为进一步证明所提出模型的功能，提出了一种针对FGM的抗裂纹扩展的数值验证增韧机制。研究发现，通过调整次区域的位置和材料特性，可以有效地增强女性生殖器官的局部韧性。还可以观察到，与传统的PD相比，当前的方法可以使用更少的材料点以更高的精度对FGM进行建模。最后，为进一步证明所提出模型的功能，提出了一种针对FGM的抗裂纹扩展的数值验证增韧机制。研究发现，通过调整次区域的位置和材料特性，可以有效地增强女性生殖器官的局部韧性。