DOI QR코드

DOI QR Code

Large displacement Lagrangian mechanics -Part I - Theory

  • Underhill, W.R.C. (Department of Mechanical Engineering, McMaster University) ;
  • Dokainish, M.A. (Department of Mechanical Engineering, McMaster University) ;
  • Oravas, G.Ae. (Department of Civil Engineering and Engineering Mechanics, McMaster University)
  • 발행 : 1996.01.25

초록

In Lagrangian mechanics, attention is directed at the body as it moves through space. The region occupied by the body is called a configuration. All body points are labelled by the position they would have if the body were to occupy a chosen reference configuration. The reference configuration can be regarded as an extra fictional copy where notes are kept. As the body moves and deforms, it is important to correctly observe the use of each configuration for computational purposes. The description of strain is particularly important. The present work establishes clearly the role of each configuration in total and in incremental forms. This work also details the differences between gradient and configurational calculus.

키워드

참고문헌

  1. Abo-Elkhier, M. (1985), "On the numerical solution of nonlinear problems in continuum mechanics", Ph. D. Thesis, McMaster University, Hamilton.
  2. Abo-Elkhier, M., Dokainish, M. A. and Oravas, G. AE. (1985), "Ananlysis of large elasto-plastic deformation", Material Nonlinearity in Vibration Problems-AMD, 71, 113-124.
  3. Gadala, M.S. (1980), "On the numerical solution of nonlinear problems of the continua", Ph. D. Thesis, McMaster University, Hamilton.
  4. Gadala, M.S., Oravas, G.AE. and Dokainish, M. A. (1982), "Continuum bases and consistent numerical formulations of nonlinear continuum mechanics problems", Solid Mechanics Archives, 9, 1-52.
  5. Underhill, W. R. C. (1992), "A virtual element method for contact problems", Ph. D. Thesis, McMaster University, Hamilton.
  6. Underhill, W. R. C., Dokainsh, M. A. and Oravas, G. AE. (1989), "On the derivation of Lagrangian strain tensors", Solid Mechanics Archives, 14, 65-80.