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相关概念视频

Generalized Hooke's Law01:22

Generalized Hooke's Law

807
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
807
Bending of Members Made of Several Materials01:08

Bending of Members Made of Several Materials

139
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...
139
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

249
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.
249
Hooke's Law01:26

Hooke's Law

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Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.
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A Facile and Eco-friendly Route to Fabricate PolyLactic Acid Scaffolds with Graded Pore Size
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正方形功能分级周期细胞材料的数值同质化:方法开发和实施.

Behnam Shahbazian1, Victor Bautista Katsalukha1, Mirmilad Mirsayar1

  • 1Department of Aerospace, Physics, and Space Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA.

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概括

本研究使用数值同质化计算了2D功能分级微细胞材料的弹性特性. 新的 MATLAB 代码准确地预测了材料的行为,并考虑了正方形和空虚几何效应.

关键词:
2D数值同质化 2D数值同质化在 MATLAB 代码中,使用的是 MATLAB 代码.弹性张量器 弹性张量器具有同位素的材料是同位素材料.构造物质是指体质的物质.周期性地按功能分级分级的细胞材料.

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科学领域:

  • 材料科学 材料科学 材料科学
  • 计算力学 计算力学 计算力学
  • 添加剂制造 添加剂制造 添加剂制造

背景情况:

  • 具有微细胞结构的功能分级材料 (FGM) 在增材制造中至关重要.
  • 了解它们的宏观弹性特性对于设计和应用至关重要.
  • 现有的方法可能无法完全捕捉由复杂的微观结构产生的异构性行为.

研究的目的:

  • 开发和验证一个计算框架来确定二维周期性功能分级微细胞材料的宏观弹性特性.
  • 研究材料异构性 (异构性和正构性阶段) 和空隙几何学对材料整体行为的影响.
  • 评估空格模式复杂性和随机性对预测准确性的影响.

主要方法:

  • 对每个单元进行数字同质化,被视为材料点.
  • 开发了新的 MATLAB 代码 (Cellular_Solid,Homogenize_test,homogenize_ortho,Homogenize_test_ortho_principal).这些代码的编写过程中,使用了多种语言.
  • 根据尺度分离原理,导出一个合适的函数,将细胞级属性映射到宏观行为.

主要成果:

  • 该方法准确地捕捉了正方形效应和空洞几何形状对宏观异构形状的影响.
  • 弹性张量正确地反映了不同的E1和E2值,表明异构性.
  • 空格模式的复杂性和随机性增加导致更高的预测错误.

结论:

  • 开发的数值同质化方法有效地预测了2D FGM的弹性特性.
  • 先进的装配方法 (例如,里埃序列) 和机器学习可以提高准确性.
  • 该框架可扩展到具有多个正极相和各种空洞形状的复合材料.