在功能分级材料中的三维断裂分析使用有限块法在强形态中进行
1Institute of Aerospace, School of Infrastructure Engineering, Nanchang University, Nanchang 330031, China.
Materials (Basel, Switzerland)
|December 9, 2023
概括
强型有限块法 (FBM) 准确分析功能分级材料中的3D断裂. 这种高效的方法确定了应力强度因子,这对于材料性能和安全至关重要.
科学领域:
- 计算力学是计算力学.
- 材料科学 是一种材料科学.
- 断裂力学 断裂力学 断裂力学
背景情况:
- 功能分级材料 (FGMs) 的空间性质各不相同,这对传统的分析方法构成了挑战.
- 准确的骨折分析对于确保由FGM制成的部件的结构完整性和安全性至关重要.
- 现有的数值方法在处理FGM骨折问题中固有的复杂几何和材料梯度方面可能面临局限性.
研究的目的:
- 介绍强型有限块法 (FBM) 用于对女性生殖器官切割的三维骨折分析.
- 用拉格朗奇和切比舍夫多项式插入来开发强型FBM的框架.
- 使用开发的FBM方法来确定FGM的压力强度因子.
主要方法:
- 强形式有限区块方法 (FBM) 将物理领域转换为一个规范化的物理领域.
- 直接配置用于在规范化域内建立线性系统.
- 映射技术有助于直接构建任何顺序的部分微分矩阵.
主要成果:
- 使用拉格朗泽和切比舍夫插入,成功开发了用于3DFBM分析的框架.
- 对女性割礼的压力强度因子根据裂开口位移标准准确确定.
- 数字示例证明了强型FBM的高精度和计算效率.
结论:
- 强型FBM是一种强大而高效的技术,用于对FGM进行3D骨折分析.
- 该方法提供了准确的应力强度因子,对于评估材料可靠性至关重要.
- 开发的FBM方法为研究人员和工程师提供了一种有价值的工具,这些研究人员和工程师与FGM工作.
相关概念视频
Three-Dimensional Analysis of Strain
219
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
219
Stress-Strain Diagram - Brittle Materials
2.4K
Brittle materials, including glass, cast iron, and stone, exhibit unique characteristics. They fracture without considerable change in their elongation rate, indicating that their breaking and ultimate strength are equivalent. Such materials also show lower strain levels at the point of rupture. The failure in brittle materials predominantly results from normal stresses, as evidenced by the rupture created along a surface perpendicular to the applied load. These materials do not display...
2.4K
Bending of Members Made of Several Materials
154
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
154
Flexural Stress
250
When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to...
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to...
250
Plastic Deformations
89
It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
89
Fatigue
185
Fatigue occurs when materials rupture under repeated or fluctuating loads, even at stress levels far below their static breaking strength. It typically results in brittle failure, even for ductile materials. It is a critical consideration in designing machines and structural components subjected to repetitive or varying loads. The nature of these loadings can range from fluctuating loads like unbalanced pump impellers causing vibrations to repeatedly bending a thin steel rod wire back and forth...
185


