Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions

 
see the original item page
in the repository's web site and access all digital files if the item*
share




1996 (EN)
Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions (EN)

Panayotounakos, DE (EN)

N/A (EN)

Making use of convenient ad hoc assumptions we construct analytical and closed-form solutions for the problem of stress and velocity states in statically determinate rigid, perfectly plastic bodies under plane-strain conditions. The obtained solutions are expressed either implicitly including arbitrary functions, or explicitly in the form of specific functions. For the stresses they are extracted by means of the two equilibrium partial differential equations (PDEs) and the appropriate von Mises-Hencky condition; for the velocities we use the Saint Venant-von Mises theory of plasticity PDEs and the condition of incompressibility. The possibility of extending the developed solution technique for plane stress conditions is presented. Finally, several applications concerning the inverse, semi-inverse and direct problems are examined. The advantage of the proposed analytical solution methodology compared to the technique of characteristics is the general applicability delivering from the a priori construction of the slip-lines, as well as the demanded numerical solutions of the corresponding equations of characteristics. Copyright (C) 1996 Elsevier Science Ltd (EN)

journalArticle

Stress concentration (EN)
Partial differential equations (EN)
Boundary conditions (EN)
Ad Hoc exact solutions (EN)
Velocity (EN)
Strain (EN)
Numerical analysis (EN)
Incompressibility (EN)
Von Mises Hencky condition (EN)
Plasticity (EN)
Problem solving (EN)
Saint Venant-Von Mises theory (EN)
Plastics (EN)
Plane stress conditions (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

International Journal of Plasticity (EN)

1996


PERGAMON-ELSEVIER SCIENCE LTD (EN)



*Institutions are responsible for keeping their URLs functional (digital file, item page in repository site)