Rapid Penetration of Rigid Bodies into Elastic Media: The Temperature, Boundary and Nonuniform Speed Effects
Abstract
Major Goals: The overall goal of the project was to advance constructive analytical methods for a class of mixed boundary value problems in elastodynamics and dynamic thermoelasticity. This project focused 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 three dimensional body. Specifically, the PI aimed to study (1) non-uniform speed effects on rapid penetration of a thin finite two-dimensional rigid body in an infinite elastic plane with finite fore and semi-infinite trailing crack-like cavities; (2) 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 Coulomb friction hold on the body-medium interface, and a semi-infinite crack-like cavity trails the body; 3) boundary effects by examining penetration of a finite rigid body in a half-plane in the direction orthogonal to the boundary; (4) an axisymmetric model on penetration of a cylindrical semi-infinite rigid body into a three-dimensional elastic medium. Accomplishments: 1. Major activities. I was working on steady-state and transient two-dimensional problems on motion of a thin rigid body in an unbounded elastic medium, dynamic problems of coupled thermoelasticity, nonuniform speed motion, motion of a rigid body in an elastic medium with a boundary and motion of axissymmetric bodies. I attended the Penetration Mechanics Short Course organized by SWRI at San Antonio (March 2018) to establish research links with scientists from SWRI working in penetration mechanics. I have written four papers on the results related to the project (three of them have been published and the fourth one is to be submitted) and made four presentations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 30, 2018
- Accession Number
- AD1075160
Entities
People
- Yuri A. Antipov
Organizations
- Louisiana State University