对称的功能分级材料板的热力学曲反应
Mengna Han1, Zichan Li1, Zhicheng Huang1
1College of Mechanical and Electronic Engineering, Jingdezhen Ceramic University, Jingdezhen 333001, China.
Materials (Basel, Switzerland)
|July 14, 2023
概括
本研究提出了一种分析功能分级材料 (FGM) 板和FGM三明治板的热力学曲的新模型. 在热负荷下,FGM三明治板表现出比FGM板更少的偏移和更高的应力.
科学领域:
- 材料科学 材料科学 材料科学
- 机械工程 机械工程
- 固体力学 固体力学是什么
背景情况:
- 功能分级材料 (FGM) 是先进的复合材料,具有不断变化的材料特性.
- 了解FGM结构的热力学行为对于它们在极端环境中的应用至关重要.
- 现有的模型可能缺乏复杂的热力学负载场景的效率或全面分析.
研究的目的:
- 开发和验证一个简化的热力学分析模型,用于对称FGM板和FGM三明治板的热力学曲.
- 研究各种参数对这些结构曲反应的影响.
- 为了比较FGM板和FGM三明治板在热和机械负荷下的行为.
主要方法:
- 一种基于精细的剪切变形理论和最小潜在能量原理的热力学分析模型.
- 一个由四个未知变量的四个控制方程组成的系统.
- 纳维尔方法用于解决统治方程.
- 简单支持的边界条件的数值示例.
- 参数分析包括体积分数指数,面积比,热负荷和核心厚度.
主要成果:
- 拟议的模型准确地预测了FGM和FGM三明治板的热力学曲反应.
- 与FGM板相比,FGM三明治板表现出更大的刚性 (更少的偏移) 和更高的正常应力.
- FGM板和FGM三明治板的反应都对非线性温度变化敏感.
结论:
- 开发的模型提供了一种高效准确的方法来分析FGM和FGM三明治板的热力学曲.
- 设计选择,如结合一个核心层,显著影响在热负荷下的结构性能.
- 进一步的研究可以探索更复杂的几何和材料分级.
相关概念视频
01:19Members Made of Elastoplastic Material
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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...
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01:07Symmetric Member in Bending
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In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
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01:08Bending of Members Made of Several Materials
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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.
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01:21Plastic Deformations of Members with a Single Plane of Symmetry
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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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01:14Plastic Deformations
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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...
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01:18Unsymmetric Bending
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Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
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