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Related Concept Videos

Yield Criteria for Ductile Materials under Plane Stress01:25

Yield Criteria for Ductile Materials under Plane Stress

In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
The Maximum Shearing Stress Criterion, also known as the...
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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.
Principal Stresses: Problem Solving01:15

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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 stress-strain relationship in ductile materials such as structural steel or aluminium is intricate and progresses through several stages. When a specimen is loaded, it initially exhibits a linear length increase, depicted by a steep straight line on the stress-strain diagram. It indicates the material is elastically deforming and will return to its original shape once unloaded. However, when a critical stress value is reached, plastic deformation begins. This stage sees substantial...

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Prototypical model for tensional wrinkling in thin sheets.

Benny Davidovitch1, Robert D Schroll, Dominic Vella

  • 1Department of Physics, University of Massachusetts, Amherst, MA 01003, USA. bdavidov@physics.umass.edu

Proceedings of the National Academy of Sciences of the United States of America
|November 2, 2011
PubMed
Summary
This summary is machine-generated.

Researchers developed a new model for thin film wrinkling, revealing how sheet thickness affects instability patterns. This is crucial for controlling mechanics in nanomechanics applications.

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Area of Science:

  • Physics
  • Materials Science
  • Nanotechnology

Background:

  • Buckling and wrinkling of thin films are critical for micro- and nanotechnologies.
  • Recent experiments show deviations from classical buckling theory for ultrathin films.
  • Morphogenetic processes in biology involve mechanical instabilities of cell sheets.

Purpose of the Study:

  • To introduce a theoretical model for analyzing wrinkling in sheets far from the instability threshold.
  • To systematically study wrinkling patterns under axisymmetric tensile loads.
  • To understand deviations from standard buckling theory in ultrathin films.

Main Methods:

  • Developed a theoretical model extending Euler buckling.
  • Focused on sheets under axisymmetric tensile loads.
  • Constructed a phase diagram to illustrate wrinkling pattern variations.

Main Results:

  • The model allows systematic analysis of wrinkling far from the instability threshold.
  • A phase diagram shows dramatic variations in wrinkling patterns.
  • Sheet thickness significantly influences the emergence of the far-from-threshold wrinkling regime.

Conclusions:

  • The study provides a theoretical framework for understanding complex wrinkling phenomena.
  • Findings are relevant for nanomechanics applications requiring control over thin film mechanics.
  • Thinner films exhibit the far-from-threshold regime at smaller compressive loads.