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相关概念视频

Impact Loading01:19

Impact Loading

191
Impact loading occurs when a moving object collides with a stationary structure, such as a rod with a uniform cross-sectional area fixed at one end. Under these conditions, the rod absorbs the kinetic energy from the striking object, leading to deformation and subsequent stress development. As the rod returns to its original position and reaches maximum stress, the absorbed energy, initially manifested as kinetic energy, transforms entirely into strain energy.
In cases of elastic deformation,...
191
An Introduction to Mechanics01:28

An Introduction to Mechanics

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Humans have been making ships, shelters, pyramids, weapons, agricultural equipment, and many more items without recording the process or theory behind them for centuries. It would be challenging to document the evolution of mechanics from its origin to the present.
According to records, the history of mechanics starts with Aristotle (384–322 BC). He related mechanics to physical theory, aiming for a universal synthesis.
Newton defined mechanics as the branch of physical science that...
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Impact01:30

Impact

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Impact occurs when two bodies collide, leading to the application of impulsive forces between them. Analyzing impact mechanics involves considering two colliding particles moving along a line known as the line of impact, which passes through their centers and is perpendicular to the contact plane.
When particles with different initial velocities collide, they induce deformation by applying equal and opposite impulses. At the point of maximum deformation, the particles move together with...
137
Elastic Collisions: Introduction01:00

Elastic Collisions: Introduction

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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
12.3K
Distributed Loads01:19

Distributed Loads

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Distributed loads are a common type of load that engineers and scientists encounter in various practical situations. Distributed loads often refer to a type of load spread over a surface or a structure and can be modeled as continuous force per unit area.
For example, consider a bookshelf filled with books stacked vertically adjacent to each other. The weight of the books is evenly distributed over the length of the shelf. As a result, the pressure at different locations on the surface of the...
517
Fatigue01:21

Fatigue

174
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...
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相关实验视频

Updated: Jun 11, 2025

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
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数据驱动的连续损伤机制与内置的物理.

Vahidullah Tac1, Ellen Kuhl2, Adrian Buganza Tepole1,3

  • 1School of Mechanical Engineering, Purdue University, West Lafayette, Indiana, USA.

Extreme Mechanics Letters
|October 7, 2024
PubMed
概括
此摘要是机器生成的。

这项研究将神经常规微分方程 (NODE) 扩展到软材料损伤模型. 新方法准确地捕捉了组织中的能量消耗和物质降解.

关键词:
脂肪组织的脂肪组织.神经常规微分方程 神经常规微分方程基于物理的机器学习.皮肤生物力学 皮肤生物力学软组织力学 软组织力学

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A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
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Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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相关实验视频

Last Updated: Jun 11, 2025

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
09:12

A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation

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A Coupled Experiment-finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
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科学领域:

  • 连续性力学是连续性的.
  • 材料科学是一种材料科学.
  • 计算力学是计算力学.

背景情况:

  • 像和织物这样的软材料经历了很大的变形和损伤,影响了它们的功能.
  • 连续损伤力学为理解能量消耗提供了一个热力学上一致的框架.
  • 深度学习为复杂的材料行为提供了高精度,但在物理约束下建模不弹性仍然具有挑战性.

研究的目的:

  • 扩展神经常规微分方程 (NODE) 用于模拟软材料中的能量消散.
  • 将热力学上一致的框架纳入深度学习,用于材料建模.
  • 为了应对模拟无弹性行为的挑战,在神经网络中内置物理.

主要方法:

  • 使用具有不弹性潜力和单调收益率函数的神经普通微分方程 (NODE).
  • 引入一种新的网络架构,能够模拟随意的超弹性材料,具有自动多凸性.
  • 在各种损坏模型中展示网络架构的灵活性.

主要成果:

  • 开发的NODE成功地以热力学一致的方式模拟能量消耗.
  • 网络架构本质上满足了诸如多凸性之类的物理约束.
  • NODE从合成数据中准确地重新发现损伤功能,并描述实验软组织数据.

结论:

  • 神经普通微分方程 (NODE) 提供了一种强大而灵活的方法来建模复杂的材料行为,包括不弹性和损伤.
  • 这种数据驱动的方法为理解软材料中的能量消耗提供了一个热力学上一致的框架.
  • 该方法显示了对软组织的合成和实验数据进行表征的巨大潜力.