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Related Concept Videos

Elastic Strain Energy for Normal Stresses01:22

Elastic Strain Energy for Normal Stresses

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Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
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Dynamic Modulus of Elasticity of Concrete01:16

Dynamic Modulus of Elasticity of Concrete

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The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by...
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Elasticity in Concrete01:20

Elasticity in Concrete

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Upon subjecting concrete to moderate or high uniaxial compressive or tensile stresses, the strain response is non-linear relative to the stress applied. As the stress is removed, the resulting stress-strain curve deviates from the original path traced during loading, creating a hysteresis loop, indicative of the concrete's non-linear and non-elastic properties. Typically, a material's modulus of elasticity, which is a measure of the material's stiffness, is inferred from the linear...
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Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

624
Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
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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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Measurements of Strain01:27

Measurements of Strain

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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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Physics-Informed Data-Driven Prediction of 2D Normal Strain Field in Concrete Structures.

Mauricio Pereira1, Branko Glisic1

  • 1Department of Civil and Environmental Engineering, Princeton University, Princeton, NJ 08544, USA.

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|October 14, 2022
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Summary

This study introduces a physics-informed data-driven approach to predict long-term concrete behavior, improving predictions for creep and shrinkage in prestressed structures using multiple sensors.

Keywords:
creep and shrinkagefiber bragg gratinglong-term structural behavioroptical fibersphysics-informed machine learningpredictive modelingstructural health monitoring

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Area of Science:

  • Civil Engineering
  • Materials Science
  • Computational Mechanics

Background:

  • Concrete structures exhibit complex time-dependent behaviors like creep and shrinkage, challenging accurate long-term prediction.
  • Existing empirical and numerical models often rely on limited laboratory data and struggle with site-specific conditions and differential effects.
  • Current data-driven methods using structural health monitoring show promise but lack sensor integration and geometric considerations.

Purpose of the Study:

  • To develop a novel physics-informed data-driven approach for predicting the 2D normal strain field in prestressed concrete structures.
  • To overcome limitations of existing models by integrating structural geometry, loading history, and multiple sensor data.
  • To accurately capture differential rheological effects in long-term concrete behavior.

Main Methods:

  • A physics-informed data-driven framework combining a simplified analytical structural model and a data-driven temperature field model.
  • Embedding neural networks within rheological time-functions to model time-dependent material behavior.
  • Training the model simultaneously on data from multiple sensors to estimate strain evolution across the structure.

Main Results:

  • The proposed method accurately predicts the long-term 2D normal strain field in prestressed concrete structures.
  • The approach effectively captures differential rheological effects by leveraging multiple sensor inputs and structural geometry.
  • Strain evolution can be estimated at any point of interest within the structure's longitudinal section.

Conclusions:

  • The physics-informed data-driven approach offers a significant advancement in predicting long-term concrete behavior, outperforming traditional methods.
  • This method provides a more accurate and holistic understanding of time-dependent strains in prestressed concrete structures.
  • The integrated approach enables more reliable structural health monitoring and performance assessment over time.