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Updated: Sep 9, 2025

Investigating Stress-relaxation and Failure Responses in the Trachea
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EPINN-GF: 複雑な脊椎の幾何学におけるストレスの予測のための幾何学的特徴を統合した強化された物理情報ニューラルネットワーク

Yue Zhang1, Junhua Zhang1, Hongjian Li2

  • 1Department of Electronic Engineering, Yunnan University, Kunming, China.

Computer methods and programs in biomedicine
|August 30, 2025
PubMed
まとめ

強化された物理情報ニューラルネットワークと幾何学的な特徴 (EPINN-GF) は,脊髄のストレス分布を正確に予測します. この進歩は脊髄疾患の診断と 個別化された治療の計画に役立ち 患者のケアを改善します

キーワード:
バイオメカニクス均衡方程式幾何学的な特徴ラプラシアンオペレータ物理系ニューラルネットワーク

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関連する概念動画

General State of Stress01:21

General State of Stress

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...
296
Stress: General Loading Conditions01:15

Stress: General Loading Conditions

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....
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Stress on an Oblique Plane01:16

Stress on an Oblique Plane

Understanding stress on an oblique plane under axial loading is pivotal in material mechanics. This analysis offers insight into a material's durability and strength, which is crucial for civil engineering and structural design. Axial loading refers to force application along the material's central axis, causing compression or elongation and leading to normal stress. Normal stress occurs when a force acts perpendicularly to the material's area, resulting in compressive or tensile...
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Transformation of Plane Stress01:18

Transformation of Plane Stress

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...
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Principal Stresses01:24

Principal Stresses

The graphical depiction of normal and shearing stress equations is represented by a circle, demonstrating the interplay between these stresses under different angular conditions. The center of this circle C, located on the vertical axis, represents the average normal stress, while its radius shows the range of stress variations. At points A and B, where the circle intersects the horizontal axis, the maximum and minimum normal stresses are observed, occurring without shearing stress. These...
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Problem Solving on Stress and Strain01:22

Problem Solving on Stress and Strain

Stress is a quantity that describes the magnitude of a force that causes deformation, generally defined as internal force per unit area. When forces pull on an object and cause its elongation, like the stretching of an elastic band, it is called tensile stress. When forces cause the compression of an object, it is known as compressive stress. When an object is being squeezed uniformly from all sides, like a submarine in the depths of the ocean, we call this kind of stress bulk stress (or volume...
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