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関連する概念動画

Generalized Hooke's Law01:22

Generalized Hooke's Law

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...
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

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.
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

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...
Residual Stresses in Bending01:18

Residual Stresses in Bending

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...
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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...
Castigliano's Theorem01:18

Castigliano's Theorem

Castigliano's theorem analyzes displacements and rotations in elastic structures. It relates the derivative of elastic strain energy to the applied forces or moments, allowing for the calculation of deformations. The theorem states that the partial derivative of the total strain energy of a system with respect to a specific load results in the displacement at the point where the load is applied. This principle applies to both forces and moments.

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関連する実験動画

Updated: May 7, 2026

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry
11:19

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry

Published on: September 6, 2016

エラストプラスチックのコンタクト用マルチスケールコンタクトメカニズム

A Almqvist1, B N J Persson2,3,4

  • 1Luleå University of Technology, Division of Machine Elements, 97187 Luleå, Sweden.

Physical review. E
|February 20, 2026
PubMed
まとめ
この要約は機械生成です。

この研究は,Perssonの多スケールコンタクト力学理論を粗な表面で検証しています. 数値シミュレーションにより,硬度が一定である弾性プラスチック固体における接触領域に関する理論の正確な予測が確認されました.

さらに関連する動画

The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
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The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid
08:58

Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid

Published on: December 2, 2022

関連する実験動画

Last Updated: May 7, 2026

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry
11:19

Characterizing Multiscale Mechanical Properties of Brain Tissue Using Atomic Force Microscopy, Impact Indentation, and Rheometry

Published on: September 6, 2016

The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
08:50

The Mechanics of (Poro-)Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid
08:58

Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid

Published on: December 2, 2022

科学分野:

  • 固体力学 固体力学とは
  • 材料科学 材料科学とは
  • トリボロジ トリボロジ トリボロジ トリボロジ

背景:

  • 粗い表面の接触力学は,プラスチックの変形を伴うアプリケーションに不可欠です.
  • パーソンの多次元接触力学理論は,弾性プラスチック固体を理解するための枠組みを提供します.
  • 一定の貫通硬さは,いくつかのコンタクト力学モデルにおける重要な仮定である.

研究 の 目的:

  • 弾性プラスチックの固体に対するパーソンのマルチスケールコンタクト力学理論の妥当性をテストするために.
  • 理論的な予測を,表面接触の数値シミュレーションと比較する.
  • プラスチックの変形下での接触領域の振る舞いを調査するために.

主な方法:

  • 境界要素法 (BEM) を用いた数値モデリング.
  • 硬い平らな表面とランダムに粗い弾性-完全にプラスチック半空間との接触のシミュレーション.
  • 弾性,プラスチック,および総接触領域の分析.

主要な成果:

  • パーソンの理論と接触領域の数値的な結果の間の定量的な一致.
  • 弾性,可塑性,および総接触に関する理論の予測の検証.
  • ストレス確率に関する理論の仮定された境界条件の支持.

結論:

  • パーソンのマルチスケールコンタクト力学理論は,硬さが一定である弾性プラスチックの固体について検証されています.
  • 数学的シミュレーションは,理論の正確性と適用性を強化します.
  • この研究は,コンタクトインターフェイスにおけるストレス分布に関する理論の仮定を裏付けている.