{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

eigenstrn - Stresses are induced by the elastic deformation...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
EN224: Linear Elasticity Division of Engineering 3.5 Eigenstrains One can also use the Kelvin solution to derive fields due to eigenstrains within an infinite region. Consider an unbounded, homogeneous linear elastic solid, which is free of stress. Suppose we introduce an inelastic strain distribution into the solid, by heating it, deforming it plastically, or inducing a phase transformation. What are the resulting displacement and stress fields? This turns out to be a remarkably simple problem. Assume that the total strain field is made up of an elastic part and the prescribed, inelastic part. (Neither the elastic or plastic strains need be compatible, but the total strain is). Then
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Stresses are induced by the elastic deformation only: In the absence of body forces, the equilibrium equations are We could solve this using Fourier transforms. Alternatively, we may write down an integral representation for the solution. Define a fictitious body force distribution then We know the general solution to this equation . It is generated by Papkovich-Neuber potentials Generated by www.PDFonFly.com at 1/10/2010 9:46:23 PM URL: http://www.engin.brown.edu/courses/en224/eigenstrn/eigenstrn.html Generated by www.PDFonFly.com at 1/10/2010 9:46:23 PM URL: http://www.engin.brown.edu/courses/en224/eigenstrn/eigenstrn.html...
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern