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相关概念视频

General State of Stress01:21

General State of Stress

179
The general state of stress within a material can be accurately depicted using a stress tensor. This tensor encapsulates the internal forces distributed within a material subjected to external forces or deformations.
Specifically, consider a tetrahedral element where one face, labeled XYZ, is perpendicular to the line OA, and the remaining faces align with the coordinate axes with point O as the origin. At any point, such as point O, the stress tensor can be used to determine the stress...
179
Stress: General Loading Conditions01:15

Stress: General Loading Conditions

305
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
305
Stresses under Combined Loadings01:23

Stresses under Combined Loadings

148
When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
148
Transformation of Plane Stress01:18

Transformation of Plane Stress

218
Studying stress transformation is essential in understanding how stress components within a material, like a cube under plane stress, change with rotation. This change is analyzed by considering a prismatic element within the cube. As the element rotates, the stress components acting on it—both normal and shearing stresses—change in magnitude and orientation. This change is quantified using trigonometric functions of the rotation angle, relating the forces acting on the rotated element's...
218
Flexural Stress01:16

Flexural Stress

238
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...
238
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

173
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
173

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Surrogate Model Development for Digital Experiments in Welding
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使用神经网络波函数对固体进行力和应力计算.

Yubing Qian1,2, Xiang Li2, Ji Chen1,3

  • 1School of Physics, Peking University, Beijing 100871, People's Republic of China.

Faraday discussions
|July 26, 2024
PubMed
概括

一种新的方法改进了使用神经网络变量蒙特卡洛 (VMC) 对真实固体的原子间力和应力张量计算. 这提高了材料建模的准确性和效率.

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科学领域:

  • 计算材料科学 计算材料科学
  • 量子化学是一种量子化学.
  • 凝聚物质物理学 凝聚物质物理学

背景情况:

  • 准确的初始计算对于理解化学,相和材料科学至关重要.
  • 基于神经网络 (NN) 的变量蒙特卡洛 (VMC) 提供了一种有希望的方法来克服初始计算中的挑战.

研究的目的:

  • 开发和评估一种基于神经网络的新型VMC方法,用于计算实体固体中的原子间力和应力张量.
  • 为了提高材料建模的初始计算的准确性,效率和稳定性.

主要方法:

  • 基于神经网络的变量蒙特卡洛 (VMC) 框架的实施.
  • 开发一种使用空间曲线协调转换计算原子间力量的新方案.
  • 为神经网络设计新的周期性特征,以提高不同晶格的稳定性.

主要成果:

  • 与现有的力计算技术相比,拟议的空间曲线协调转换方法显示出更高的准确性,效率和稳定性.
  • 新的周期性特征提高了对各种格子结构的力计算的可靠性.
  • 该研究验证了NN-VMC在实体固体中计算力和应力张量时的有效性.

结论:

  • 开发的NN-VMC方法与空间曲线转换和周期性特征显著提高了对真实固体精确的初始计算能力.
  • 这项工作促进了机器学习量子蒙特卡罗方法在材料科学和凝聚物质物理学中的更广泛应用.
  • 改进的计算效率和稳定性为更复杂的材料建模和发现铺平了道路.