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There are many examples of pressure in fluids in everyday life, such as in relation to blood (high or low blood pressure) and in relation to weather (high- and low-pressure weather systems). A given force can have a significantly different effect, depending on the area over which the force is exerted. For instance, a force applied to an area of 1 mm2 has a pressure that is 100 times greater than the same force applied to an area of 1 cm2. That's why a sharp needle is able to poke through...
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In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Fluid Pressure01:14

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In mechanical engineering, fluid pressure plays a critical role in designing systems that utilize liquid flow, such as hydraulic systems, pumps, and valves. When designing these systems, engineers must ensure they can withstand the forces created by fluid pressure to avoid damage or failure.
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When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
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Bernoulli's Equation for Flow Normal to a Streamline01:16

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Bernoulli's equation for flow normal to a streamline explains how pressure varies across curved streamlines due to the outward centrifugal forces induced by the fluid's curvature. The pressure is higher on the inner side of the curve, near the center of curvature, and decreases outward to balance these centrifugal forces.
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Fiber bundle model under fluid pressure.

David Amitrano1, Lucas Girard2

  • 1Université Grenoble Alpes, ISTerre, F-38000 Grenoble, France.

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Summary
This summary is machine-generated.

Internal fluid pressure destabilizes brittle materials, accelerating failure. Increased pressure reduces avalanche size exponents and increases cutoff divergence, making failure more likely and harder to predict.

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Area of Science:

  • Materials Science
  • Geophysics
  • Statistical Physics

Background:

  • Internal fluid pressure is critical in brittle material rupture, impacting engineering and natural hazards.
  • The microscale mechanisms of fluid pressure enhancing macroscale failure and accelerating damage dynamics are not fully understood.

Purpose of the Study:

  • To investigate the influence of internal fluid pressure on the failure mechanisms of brittle materials using an enhanced fiber bundle model.
  • To analyze how varying fluid pressures affect damage avalanche statistics and their evolution towards macroscopic failure.

Main Methods:

  • Revisiting the fiber bundle model to incorporate fluid pressure effects based on Biot's theory.
  • Applying fluid pressure to broken fibers, contributing to the global load supported by the bundle.
  • Analyzing statistical properties of damage avalanches and their evolution across a range of fluid pressures.

Main Results:

  • Macroscopic strength is significantly controlled by fluid pressure, especially when comparable to fiber strength.
  • Damage acceleration towards failure is effectively modeled by instability sweeping.
  • Increased fluid pressure leads to a decrease in the avalanche size exponent (β) and an increase in the cutoff divergence exponent (γ).

Conclusions:

  • Fluid pressure acts as a destabilizing factor, promoting macrofailure in brittle materials.
  • Increasing fluid pressure leads to progressively unstable material behavior.
  • The findings have significant implications for forecasting material failure in the presence of internal fluid pressure.