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Related Concept Videos

Impact01:30

Impact

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Impact occurs when two bodies collide, leading to the application of impulsive forces between them. Analyzing impact mechanics involves considering two colliding particles moving along a line known as the line of impact, which passes through their centers and is perpendicular to the contact plane.
When particles with different initial velocities collide, they induce deformation by applying equal and opposite impulses. At the point of maximum deformation, the particles move together with...
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Impact Loading01:19

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Impact loading occurs when a moving object collides with a stationary structure, such as a rod with a uniform cross-sectional area fixed at one end. Under these conditions, the rod absorbs the kinetic energy from the striking object, leading to deformation and subsequent stress development. As the rod returns to its original position and reaches maximum stress, the absorbed energy, initially manifested as kinetic energy, transforms entirely into strain energy.
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Impacts can be classified in various forms, primarily under two subgroups: central impact and oblique impact. A central impact occurs when two objects collide head-on, possessing opposite velocities aligned along the line of impact. Conversely, an oblique impact occurs when two objects collide at an angle, resulting in a modification of both direction and velocity.
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According to Newton’s second law of motion, the rate of change of the momentum of an object is the net external force acting on it. The total change in momentum between two timepoints thus depends on both the external force acting on it and the time over which it acts. Describing this mathematically, the total change of an object’s motion is proportional to the force vector and the time over which it is applied. This product is called impulse.
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Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...
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An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...
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Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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Nonlinear force propagation during granular impact.

Abram H Clark1, Alec J Petersen1, Lou Kondic2

  • 1Department of Physics & Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA.

Physical Review Letters
|April 25, 2015
PubMed
Summary
This summary is machine-generated.

Impacts on granular materials show nonlinear force propagation. Force speed depends on a dimensionless parameter, M´, revealing chain-like or dense force responses based on impact conditions.

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Area of Science:

  • Physics
  • Materials Science
  • Mechanical Engineering

Background:

  • Granular materials exhibit complex behaviors under impact.
  • Understanding force propagation is crucial for predicting material response.

Purpose of the Study:

  • To experimentally investigate nonlinear force propagation in granular materials during impact.
  • To correlate force propagation characteristics with a dimensionless parameter (M´).

Main Methods:

  • Utilized high-speed video and photoelastic particles to observe impact dynamics.
  • Measured force response speed and spatial structure.
  • Varied particle materials to access a wide range of the dimensionless parameter M´.

Main Results:

  • Force propagation speed and structure depend on M´ = t₀v₀/d.
  • For M´ ≪ 1, force propagates in a chain-like manner (v_f ∝ d/t_c).
  • For larger M´, force response becomes spatially dense, deviating from the chain-like model due to collective stiffening.

Conclusions:

  • The nonlinear grain-scale force relation governs impact response in granular materials.
  • The dimensionless parameter M´ effectively characterizes force propagation regimes.
  • Experimental findings provide insights into the mechanics of granular matter under dynamic loading.