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Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their...
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Plastic Deformations01:14

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It is essential to understand how structural members behave under plastic deformation when the bending stress exceeds the material's yield strength. This state of deformation permanently alters the shape of the member, in contrast to the linear elastic behavior observed before yielding. The strain at any point in the member is expressed in terms of maximum strain. Notably, the neutral axis, which coincides with the centroid during elastic bending, shifts away from the centroid under plastic...
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When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
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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.
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Physical attractiveness plays a crucial role in shaping interpersonal attraction, influencing first impressions, social interactions, and long-term relationship dynamics. Psychological research consistently demonstrates that attractiveness affects social evaluations and behavioral outcomes in various contexts.Influence on Social InteractionsResearch has shown that individuals perceived as physically attractive often experience preferential treatment in social and professional settings. One...
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Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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The Divine Proportion: Origins and Usage in Plastic Surgery.

Kun Hwang1, Chan Yong Park2

  • 1Department of Plastic Surgery, Inha University School of Medicine, Incheon, Republic of Korea.

Plastic and Reconstructive Surgery. Global Open
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PubMed
Summary

The divine proportion, or golden ratio, has historical roots in art but lacks scientific basis for beauty in plastic surgery. Beauty is likely biological, not mathematical.

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Area of Science:

  • Plastic Surgery
  • Aesthetic Surgery
  • Medical Humanities

Background:

  • The concept of the divine proportion, or golden ratio, has a long history, originating in art and architecture.
  • Its application and perceived aesthetic value have been debated and investigated over centuries.

Purpose of the Study:

  • To review the historical origins of the divine proportion.
  • To examine its purported use and efficacy in plastic and aesthetic surgery.

Main Methods:

  • A comprehensive literature search was conducted on PubMed using keywords such as 'golden ratio,' 'plastic surgery,' 'aesthetic surgery,' and 'face.'
  • Initial search yielded 65 articles; after exclusions, 5 full articles and 11 additional articles were reviewed.

Main Results:

  • No evidence supports the use of the golden ratio in art before 1509.
  • While some studies suggest the golden ratio is aesthetically pleasing, facial masks based on it do not fit average features or perceptions of beauty.
  • The Marquardt facial mask, embodying the golden ratio, failed to align with average European facial features or ideals of femininity.

Conclusions:

  • Mathematical regularity exists in nature and the human body, but does not equate to a mathematical 'formula of beauty.'
  • The essence of beauty cannot be derived solely from mathematical formulas.
  • Beauty is suggested to be fundamentally biological rather than purely mathematical.