Rapid penetration of rigid bodies into elastic media: the temperature, boundary and nonuniform speed effects
Abstract
The overall goal of the project is to advance constructive analytical methods for a class of mixed boundary value problems in elastodynamics and dynamic thermoelasticity. This project focuses on modeling of rapid nonuniform penetration of thin two-dimensional and axisymmetric rigid bodies into a medium that can be categorized as an elastic or thermoelastic, infinite or semi-infinite, two- or threedimensional body. Specifically, the PI aims to study a) non-uniform speed effects on rapid penetration of a thin finite two-dimensional rigid body in an infinite elastic plane with finite forward and semi-infinite trailing crack-like cavities; b) temperature effects by analyzing a dynamic coupled thermoelastic model for a thin rigid two-dimensional body moving in an elastic medium when the conditions of the Coulomb friction hold on the body-medium interface, and a semi-infinite crack-like cavity trails the body; c) boundary effects by examining penetration of a finite rigid body in a half-plane in the direction orthogonal to the boundary; d) an axisymmetric model on penetration of a cylindrical semi-infinite rigid body into a three-dimensional elastic medium. The one-dimensional quasi-static and dynamic cavity-expansion methods employed in ballistics have natural limitations. They are not designed for modeling penetration of a projectile into the target surface and do not take into consideration possible impact of high temperature on the penetration process. Development of new numerically-analytical methods of the partial differential equations of two- and three-dimensional continuum mechanics in concert with integral transformations, the Riemann-Hilbert formalism, and singular integral equations and also analysis of temperature, boundary, and non-uniform speed effects and axisymmetric models comprise the main aims of the project.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Sep 11, 2018
- Source ID
- W911NF1710157
Entities
People
- Yuri Antipov
Organizations
- Army Contracting Command
- Louisiana State University
- United States Army