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関連する概念動画

Temperature Dependent Deformation01:12

Temperature Dependent Deformation

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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
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Method of Joints: Problem Solving I01:30

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The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which assumes that the truss members are connected by frictionless pins. The forces at each joint can be determined by considering the equilibrium of the forces acting on that joint. Consider a truss structure with two forces of 20 N and 10 N acting at joints C and D, respectively. The method of joints can be used to determine the forces FCB, FDC,...
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Method of Joints: Problem Solving II01:30

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Consider a truss structure with frictionless joints fixed to a wall and roller support. If a force of 150 N is applied to joint A, the forces in each member of the truss can be determined using the method of joints.
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Two-Dimensional Force System: Problem Solving01:29

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Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
The first step to solving a two-dimensional force system problem is to draw a free-body diagram of the object under consideration. This diagram helps identify all the external forces acting on the object, including their...
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Three-Dimensional Force System:Problem Solving01:30

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
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Shear and Bending Moment Diagram: Problem Solving01:24

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When analyzing a beam supporting concentrated loads and a distributed load, drawing the shear and bending moment diagrams is essential. These diagrams help understand the internal forces and moments acting on the beam, which is crucial for designing safe and efficient structures. Follow these steps to create the shear and bending moment diagrams:
Draw a Free-Body Diagram: Start by drawing a free-body diagram of the entire beam, including the concentrated loads, distributed load, and reaction...
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Updated: Mar 31, 2026

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構造解析のためのデータ駆動型ツールボックス:実験と欠陥力学の架け橋

Abdalrhaman Koko1,2, Alya Abdelnour3, Thorsten H Becker4

  • 1National Physical Laboratory, Hampton Road, Teddington, TW11 0LW UK.

Engineering with computers
|January 19, 2026
PubMed
まとめ

この研究は、材料欠陥を解析するためのMATLABツールボックスを紹介します。破壊力学パラメータを実験データから直接抽出し、様々な材料における亀裂や転位の形状に依存しない特性評価を可能にします。

キーワード:
計算ツールボックス材料試験2.0構成力デジタル画像相関HR-EBSD混合モード破壊応力拡大係数

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科学分野:

  • 材料科学
  • 計算力学
  • 固体力学

背景:

  • 材料破壊の予測には、欠陥の力学的挙動の理解が必要です。
  • 従来の破壊力学は、実験設定では満たされないことが多い仮定に依存しています。

研究 の 目的:

  • 実験データから構成力および混合モード応力拡大係数(SIF)を抽出するための計算ツールボックスを開発すること。
  • 複雑な材料における欠陥挙動の形状に依存しない特性評価を可能にすること。

主な方法:

  • パス独立エネルギー積分(J積分およびM積分)を実装したMATLABベースのツールボックス。
  • モードI、II、IIIのSIFの寄与を分離するための新しいモード分解。
  • 実験的に測定された変位または変形勾配場(例:DIC、H-EBSD)の直接解析。

主要な成果:

  • 微小亀裂、転位、疲労亀裂のロバストで形状に依存しない特性評価を実証しました。
  • 異方性および複雑な材料に適用しました。
  • フレームワークは材料に依存せず、実験的な場に直接作用します。

結論:

  • このツールボックスは、従来の限界を克服する欠陥挙動のデータ駆動型解析を容易にします。
  • 線形および異方性弾性/弾塑性材料(金属、セラミックス)に小ひずみ運動学下で適用可能です。
  • 材料破壊の高度な理解と性能向上を可能にします。