Topology Optimization of Brittle Composites for Optimizing Fracture Resistance Incorporating Phase Field Method with Strain Orthogonal Decompositions

IF 1.5 4区 材料科学 Q4 MATERIALS SCIENCE, COMPOSITES
B.-T. Vu, T. A. Do, T.-T. Tran, H. Le-Quang, Q.-C. He
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Abstract

A framework of the topology optimization incorporated with the phase field method considering the interfacial damage for optimizing the fracture resistance of inclusion-matrix composites is presented. The topology optimization was performed to redistribute the inclusion phase in order to reduce its volume while keeping the fracture resistance value of the initial design unchanged. The phase field method uses two scalar phase field variables: one is for the bulk crack and the other is for the interfacial crack. The decomposition of the strain tensor into compression and tension parts was incorporated into this phase field method to improve the mechanical behaviors of the materials. These compression and tension strain parts are orthogonal in the context of the inner product in which the tensor of elastic stiffness behaves as a metric. Moreover, in the simulation process, an investigation of the effects of the interfacial parameters on the numerical results was discussed. Through the obtained results, the method proposed is demonstrated to be accurate and efficient in eliminating spurious effects and singularity points on the behavior curves in the damage process.

Abstract Image

结合相场法和应变正交分解优化脆性复合材料的抗断裂拓扑结构
本文介绍了一种拓扑优化框架,该框架结合了考虑界面损伤的相场方法,用于优化夹杂基复合材料的抗断裂性能。拓扑优化的目的是在保持初始设计的断裂抗力值不变的情况下,重新分配包含相以减少其体积。相场法使用两个标量相场变量:一个用于体裂纹,另一个用于界面裂纹。该相场法将应变张量分解为压缩和拉伸两部分,以改善材料的机械性能。在弹性刚度张量作为度量的内积中,压缩和拉伸应变部分是正交的。此外,在模拟过程中,还讨论了界面参数对数值结果的影响。通过所获得的结果,证明了所提出的方法在消除损伤过程中行为曲线上的虚假效应和奇异点方面是准确和有效的。
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来源期刊
Mechanics of Composite Materials
Mechanics of Composite Materials 工程技术-材料科学:复合
CiteScore
2.90
自引率
17.60%
发文量
73
审稿时长
12 months
期刊介绍: Mechanics of Composite Materials is a peer-reviewed international journal that encourages publication of original experimental and theoretical research on the mechanical properties of composite materials and their constituents including, but not limited to: damage, failure, fatigue, and long-term strength; methods of optimum design of materials and structures; prediction of long-term properties and aging problems; nondestructive testing; mechanical aspects of technology; mechanics of nanocomposites; mechanics of biocomposites; composites in aerospace and wind-power engineering; composites in civil engineering and infrastructure and other composites applications.
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