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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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A Method for Studying the Temperature Dependence of Dynamic Fracture and Fragmentation
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Fast collision detection for fracturing rigid bodies.

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This study introduces new algorithms and data structures for real-time collision detection in fracturing rigid bodies. The approach enhances simulation performance for complex scenes, benefiting applications like video games and haptics.

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Area of Science:

  • Computer Graphics
  • Computational Physics
  • Simulation Technology

Background:

  • Collision detection is critical for simulation performance, especially in fracture simulations where fragments create intensive contact.
  • Dynamic generation of new fragments requires on-the-fly computation of collision detection data structures.

Purpose of the Study:

  • To present novel collision detection algorithms and data structures for real-time simulation of fracturing rigid bodies.
  • To improve the efficiency and integration of collision detection within existing simulation engines.

Main Methods:

  • Utilizing a combination of distance fields and sphere trees for efficient data structures.
  • Developing novel methods for constructing and updating these data structures upon fracture events.
  • Implementing a self-adapting contact selection algorithm for simplified collision response.

Main Results:

  • Drastic reduction in the computational cost of both collision detection and collision response.
  • Achieved high frame rates in challenging fracture simulation scenarios.
  • Demonstrated suitability for hard real-time applications like video games and haptics.

Conclusions:

  • The proposed solution significantly enhances real-time fracture simulation performance.
  • Offers a robust and efficient method for handling collisions with dynamically created rigid objects.
  • Opens new possibilities for complex simulations involving numerous fracturing objects.