Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals.

K R Elder1, Martin Grant

  • 1Department of Physics, Oakland University, Rochester, MI 48309-4487, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Quantitative phase field modeling of planar ice growth in sucrose solutions.

The Journal of chemical physics·2026
Same author

Phase field crystal models with applications to laser deposition: A review.

Structural dynamics (Melville, N.Y.)·2024
Same author

Traveling waves of the solidification and melting of cubic crystal lattices.

Physical review. E·2021
Same author

Kinetic roughening of the urban skyline.

Physical review. E·2020
Same author

Phase-field crystal for an antiferromagnet with elastic interactions.

Physical review. E·2019
Same author

Sharp interface model for elastic motile cells.

The European physical journal. E, Soft matter·2019

This study introduces a continuum field theory for modeling material deformation and crystal behavior under nonequilibrium conditions. The approach is validated through analytical calculations and simulations of key material science phenomena.

Area of Science:

  • Materials Science
  • Continuum Mechanics
  • Computational Materials Science

Background:

  • Nonequilibrium processing phenomena involve complex material behaviors like elastic-plastic deformation and evolving microstructures.
  • Existing models often struggle to capture phenomena such as free surfaces and multiple crystal orientations simultaneously.
  • Advanced modeling is crucial for understanding and predicting material performance in dynamic environments.

Purpose of the Study:

  • To develop a unified continuum field theory for modeling diverse nonequilibrium material processing phenomena.
  • To incorporate elastic and plastic deformation, free surfaces, and multiple crystal orientations within a single theoretical framework.
  • To demonstrate the model's applicability through analytical calculations and numerical simulations.

Related Experiment Videos

Main Methods:

  • Development of a continuum field theory.
  • Analytical calculations of fundamental model properties.
  • Numerical simulations of various material science applications.

Main Results:

  • The presented theory successfully models elastic and plastic deformation, free surfaces, and multiple crystal orientations.
  • Analytical calculations confirm the model's basic properties.
  • Simulations accurately predict outcomes for epitaxial growth, material hardness, grain growth, reconstructive phase transitions, and crack propagation.

Conclusions:

  • The continuum field theory provides a robust framework for simulating complex nonequilibrium material behaviors.
  • The model offers a versatile tool for research in materials processing and performance prediction.
  • This approach facilitates a deeper understanding of phenomena from crystal growth to fracture mechanics.