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Linear time-invariant Systems01:23

Linear time-invariant Systems

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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
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The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
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Strain quantifies the deformation of a material under force, typically measured as normal strain, which represents the change in length when compared with the original length. Electrical strain gauges are used for enhanced accuracy. These devices consist of a conductive wire mounted on a paper backing that adheres to the material's surface. These gauges operate on the piezoresistive effect, where the wire's electrical resistance changes in response to mechanical deformation. The strain...
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Strain energy is a fundamental concept in the field of materials science and structural engineering, describing the energy absorbed by a material or structure when it is deformed under load.
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A Fabrication Method for Highly Stretchable Conductors with Silver Nanowires
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Strain-invariant omnidirectional stretchable MXetronics.

Shenglong Wang1,2,3, Weili Deng1, Haichao Huang1

  • 1Key Laboratory of Advanced Technologies of Materials (Ministry of Education), School of Materials Science and Engineering, Southwest Jiaotong University, Chengdu, PR China.

Nature Communications
|January 31, 2026
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Summary
This summary is machine-generated.

We developed strain-invariant, omnidirectionally stretchable MXene-based electronics (MXetronics) using microgrid engineering. This innovation ensures reliable device performance under significant mechanical strain for advanced healthcare monitoring.

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Electronics Engineering

Background:

  • Titanium carbide MXene flakes offer excellent conductivity for MXene-based electronics (MXetronics).
  • Weak interlayer bonding in MXenes leads to film fracturing and device failure under mechanical strain.
  • Existing MXetronics suffer from unstable operation and inaccurate data transmission when deformed.

Purpose of the Study:

  • To develop strain-invariant, omnidirectionally stretchable MXetronics (sos-MXetronics).
  • To overcome the limitations of mechanical instability in MXene-based devices.
  • To enable reliable electronic systems for healthcare monitoring under dynamic conditions.

Main Methods:

  • Hierarchical stiffness microgrid engineering was employed.
  • Patterned elastiff regions and modulus-buffered interconnects were integrated.
  • A circular device integrating NFC antenna, micro-supercapacitors, and sensors was fabricated.

Main Results:

  • The sos-MXetronics demonstrated exceptional strain invariance, retaining 95-98% performance up to 40% strain.
  • The system showed no electrical disconnection even during significant wrist deformations.
  • Accurate blood pressure monitoring was achieved, minimizing motion-induced artifacts.

Conclusions:

  • Hierarchical stiffness microgrid engineering effectively prevents performance shifts in stretchable MXetronics.
  • The developed sos-MXetronics represent a significant advancement for practical MXene applications.
  • This technology paves the way for reliable 2D material-based electronics in wearable healthcare systems.