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Mechanical systems are analogous to to electrical networks where springs and masses play similar roles to inductors and capacitors, respectively. A viscous damper in mechanical systems functions similarly to a resistor in electrical networks, dissipating energy. The forces acting on a mass in such systems include an applied force in the direction of motion, counteracted by forces from the spring, a viscous damper, and the mass's acceleration. This interplay of forces is mathematically...
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The mechanical energy E of a system is the sum of its potential energy U and the kinetic energy K of the objects within it. What happens to this mechanical energy when only conservative forces cause energy transfers within the system—that is, when frictional and drag forces do not act on the objects in the system? Also assume that the system is isolated from its environment; in other words no external force from an object outside the system causes energy changes inside the system.
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Heat transfer between the human body and its environment occurs through four main mechanisms: conduction, convection, radiation, and evaporation.
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Microfabricated Post-Array-Detectors mPADs: an Approach to Isolate Mechanical Forces
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Unbiased mechanical cloaks.

Fernando Vasconcelos Senhora1, Emily D Sanders2, Glaucio H Paulino3,4

  • 1School of Civil and Environmental Engineering, Georgia Institute of Technology, Atlanta, GA 30332.

Proceedings of the National Academy of Sciences of the United States of America
|May 9, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a novel two-stage design method for unbiased elastostatic cloaks, crucial for concealing defects in materials. The approach ensures cloaks perform effectively under various elastic disturbances, validated through advanced manufacturing and experimental testing.

Keywords:
architected materialselastostatic cloakingstructural optimization

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Metamaterials

Background:

  • Distinguishing between reinforcement and true cloaking is vital for designing effective elastic cloaks.
  • Existing optimization methods often yield biased cloaks, limiting their effectiveness to specific disturbances.

Purpose of the Study:

  • To develop and demonstrate a two-stage optimization approach for designing true, unbiased elastostatic cloaks.
  • To achieve effective cloaking of defects in elastic media under a wide range of conditions.

Main Methods:

  • A two-stage optimization process: first, load-case optimization for worst-case scenarios, then topology optimization of cloak microstructure.
  • Formulating the objective function in terms of energy mismatch to target unbiased cloaking.
  • Utilizing spinodal architected materials for fabrication and digital light processing additive manufacturing for creating 3D cloaked defects.

Main Results:

  • The proposed method successfully designs cloaks that approach perfect and unbiased elastostatic cloaking.
  • Numerical simulations and experimental validation confirm the universal effectiveness of the designed cloaks under various random load cases.
  • Physical demonstration of a 3D elastostatic cloak concealing a 3D defect in a 3D medium.

Conclusions:

  • The developed two-stage optimization strategy effectively produces unbiased elastostatic cloaks.
  • The findings pave the way for practical applications of cloaking technology in materials science and engineering.
  • Experimental verification confirms the theoretical advancements in achieving robust elastostatic cloaking.