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Related Concept Videos

Transformation of Plane Strain01:12

Transformation of Plane Strain

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When analyzing elongated structures like bars subjected to uniformly distributed loads, it is essential to understand the transformation of plane strain when coordinate axes are rotated. This transformation helps to assess how material deformation characteristics vary with orientation, which is crucial in materials science and structural engineering.
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Source Transformation for AC Circuits01:11

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The process of source transformation in the frequency domain entails the conversion of a voltage source, positioned in series with an impedance, into a current source that is parallel to an impedance, or the other way around. It is essential to maintain the following relationships while transitioning from one source type to another.
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A device that transforms voltages from one value to another using induction is called a transformer. A transformer consists of two separate coils, or windings, wrapped around the same soft iron core. However, they are electrically insulated from each other.
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Source transformation is a fundamental technique employed in circuit analysis, offering a valuable tool for simplifying complex electrical circuits. This technique involves the replacement of either a voltage source in series with a resistor by a current source in parallel with a resistor, or vice versa. The key concept here is that when the original sources are deactivated (turned off), the equivalent resistance at the circuit's end terminals remains the same.
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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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Simulation, Fabrication and Characterization of THz Metamaterial Absorbers
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Transformation Metamaterials.

Lin Xu1,2, Huanyang Chen1

  • 1Department of Physics and Institute of Electromagnetics and Acoustics, Xiamen University, Xiamen, 361005, China.

Advanced Materials (Deerfield Beach, Fla.)
|October 8, 2021
PubMed
Summary
This summary is machine-generated.

Transformation media, based on Maxwell

Keywords:
metamaterialstransformation acousticstransformation mediatransformation metamaterialstransformation optics

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Area of Science:

  • Physics
  • Metamaterials
  • Electromagnetism

Background:

  • Maxwell's equations exhibit form-invariance under coordinate transformations.
  • Smooth spatial deformations can be physically realized as inhomogeneous and anisotropic electromagnetic media.
  • This offers a geometric approach to manipulate electromagnetic waves.

Purpose of the Study:

  • To review the concept and implementation of transformation media.
  • To explore the extension of transformation media principles to other wave phenomena.
  • To highlight the potential for multi-physics designs using transformation metamaterials.

Main Methods:

  • Utilizing the form-invariance of Maxwell's equations.
  • Designing artificial structures from conventional materials to mimic transformation media.
  • Applying transformation principles to electromagnetic, elastic, acoustic, and water waves, as well as stationary fields.

Main Results:

  • Demonstrated that spatial deformation is equivalent to transformation media.
  • Summarized examples of transformation media achieved through artificial structures.
  • Extended the concept from electromagnetic waves to other wave dynamics and stationary fields.

Conclusions:

  • Transformation media provide a geometric method for controlling electromagnetic waves.
  • The concept has been successfully extended to various wave phenomena, leading to transformation metamaterials.
  • Controlling diverse waves offers potential for advanced multi-physics applications.