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Related Concept Videos

Circular Shafts - Elastoplastic Materials01:24

Circular Shafts - Elastoplastic Materials

The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's center. This relationship holds until the shaft reaches a critical point of stress, beyond which it begins to yield, marking the transition from elastic to plastic deformation. At this crucial juncture, the maximum torque the shaft can endure without permanent deformation is determined, signifying the limit of its elastic behavior.
As torque on the...
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Plastic Deformation in Circular Shafts

When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a permanent alteration or strain in their structure. This concept can be specifically applied to circular shafts, where the deformation leads to a change in its shape. The precise evaluation of this plastic deformation requires understanding the stress distribution within the circular shaft, which is achieved by calculating the maximum shearing stress in...
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Residual Stresses in Circular Shafts

In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the shaft's...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

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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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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...
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Sample Preparation in Quartz Crystal Microbalance Measurements of Protein Adsorption and Polymer Mechanics
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Parametric smoothing model for visco-elastic polishing tools.

Dae Wook Kim1, Won Hyun Park, Hyun Kyoung An

  • 1College of Optical Sciences, University of Arizona, 1630 E University Blvd, Tucson, Arizona 85721, USA. letter2dwk@hotmail.com

Optics Express
|October 14, 2010
PubMed
Summary
This summary is machine-generated.

A new parametric smoothing model quantifies polishing tool efficiency for precision optics. This model, using a normalized smoothing factor (SF), accurately predicts surface error correction for visco-elastic materials.

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Area of Science:

  • Materials Science
  • Optical Engineering
  • Manufacturing Processes

Background:

  • Precision optics manufacturing requires efficient surface error correction.
  • Visco-elastic materials in polishing tools conform to workpieces but resist short-duration impacts.
  • Existing methods lack quantitative descriptions of the smoothing action.

Purpose of the Study:

  • To develop a parametric smoothing model for visco-elastic polishing tools.
  • To quantitatively describe the smoothing action and its effect on surface errors.
  • To improve the efficiency of finishing large precision optics.

Main Methods:

  • Developed a parametric smoothing model with a normalized smoothing factor (SF).
  • Conducted experiments using conventional pitch tools and rigid conformal (RC) laps.
  • Measured limiting minimum ripple magnitude (PVmin) and SF function slope changes.

Main Results:

  • The parametric smoothing model accurately describes the smoothing action of visco-elastic polishing tools.
  • Experimental data verified the linear trend of the SF function.
  • Measured parameters like PVmin and SF slope changes were successfully fit by the model.

Conclusions:

  • The developed parametric smoothing model provides a quantitative understanding of polishing efficiency.
  • The model enables optimization of polishing processes for large precision optics.
  • The normalized smoothing factor (SF) is a key parameter for predicting and controlling surface finish.