在机械和热负荷下对双模块功能分级的截断薄形外进行大偏斜分析
Xiao-Ting He1,2, Ming-Wei Luo1, He-Hao Feng1
1School of Civil Engineering, Chongqing University, Chongqing 400045, China.
Materials (Basel, Switzerland)
|January 25, 2025
概括
这项研究分析了在机械和热负荷下双模块化功能分级的形外中的大偏移. 材料特性和边界条件显著影响外位移.
科学领域:
- 固体力学 固体力学是什么
- 材料科学 材料科学 材料科学
- 热力学是一种热力学.
背景情况:
- 功能分级材料 (FGM) 具有可调节的特性,但它们在复杂负载下的行为需要详细分析.
- 双模块材料在张力和压缩中表现出不同的机械性能,使外分析复杂化.
- 形外在工程结构中被广泛使用,需要对其稳定性和变形进行研究.
研究的目的:
- 为了研究双模块的功能分级的截断的形外的大偏斜行为.
- 分析横向机械和不均的热负荷对外变形的影响.
- 检查不同边界条件 (简单地支持和完全固定) 对外响应的影响.
主要方法:
- 利用·卡尔曼的大偏斜理论与曲率校正用于几何方程.
- 使用Ritz方法推导出分析解决方案.
- 使用Abaqus进行数值模拟以进行验证.
主要成果:
- 双模块功能分级材料显著影响最大位移,在机械和热负荷下有不同的行为.
- 圆顶角和截断距离是影响最大位移的大小和位置的关键因素.
- 来自Abaqus的数值结果与得出的理论解决方案有很好的一致性.
结论:
- 双模体FGM提供了一种控制外位移的手段,但它们的应用需要仔细考虑负载类型和边界条件.
- 诸如顶角和切断等几何参数显著影响这些外的结构性能.
- 该研究提供了一个验证的分析框架,用于分析复杂的外行为,这对于先进的工程设计至关重要.
相关概念视频
Thin-Walled Hollow Shafts
163
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
163
Beams with Unsymmetric Loadings
111
Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
111
Residual Stresses in Bending
151
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
151
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
246
Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
246
Bending of Members Made of Several Materials
138
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...
138
Members Made of Elastoplastic Material
93
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
As the bending moment...
93


