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Title: PRONTO 2D: A two-dimensional transient solid dynamics program

Abstract

PRONTO 2D is a two-dimensional transient solid dynamics code for analyzing large deformations of highly nonlinear materials subjected to extremely high strain rates. This Lagrangian finite element program uses an explicit time integration operator to integrate the equations of motion. Four node uniform strain quadrilateral elements are used in the finite element formulation. A number of new numerical algorithms which have been developed for the code are described in this report. An adaptive time step control algorithm is described which greatly improves stability as well as performance in plasticity problems. A robust hourglass control scheme which eliminates hourglass distortions without disturbing the finite element solution is included. All constitutive models in PRONTO are cast in an unrotated configuration defined using the rotation determined from the polar decomposition of the deformation gradient. An accurate incremental algorithm was developed to determine this rotation and is described in detail. A robust contact algorithm was developed which allows for the impact and interaction of deforming contact surfaces of quite general geometry. A number of numerical examples are presented to demonstrate the utility of these algorithms. 41 refs., 51 figs., 5 tabs.

Authors:
;
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
OSTI Identifier:
6671798
Report Number(s):
SAND-86-0594
ON: DE87007823
DOE Contract Number:  
AC04-76DP00789
Resource Type:
Technical Report
Resource Relation:
Other Information: Microfiche only, copy does not permit paper copy reproduction. Original copy available until stock is exhausted
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; 42 ENGINEERING; STRAIN RATE; P CODES; TWO-DIMENSIONAL CALCULATIONS; BOUNDARY CONDITIONS; DEFORMATION; FINITE ELEMENT METHOD; FORTRAN; MANUALS; TOPOLOGY; COMPUTER CODES; DOCUMENT TYPES; MATHEMATICS; NUMERICAL SOLUTION; PROGRAMMING LANGUAGES; 360103* - Metals & Alloys- Mechanical Properties; 990210 - Supercomputers- (1987-1989); 420500 - Engineering- Materials Testing

Citation Formats

Taylor, L M, and Flanagan, D P. PRONTO 2D: A two-dimensional transient solid dynamics program. United States: N. p., 1987. Web. doi:10.2172/6671798.
Taylor, L M, & Flanagan, D P. PRONTO 2D: A two-dimensional transient solid dynamics program. United States. https://doi.org/10.2172/6671798
Taylor, L M, and Flanagan, D P. 1987. "PRONTO 2D: A two-dimensional transient solid dynamics program". United States. https://doi.org/10.2172/6671798. https://www.osti.gov/servlets/purl/6671798.
@article{osti_6671798,
title = {PRONTO 2D: A two-dimensional transient solid dynamics program},
author = {Taylor, L M and Flanagan, D P},
abstractNote = {PRONTO 2D is a two-dimensional transient solid dynamics code for analyzing large deformations of highly nonlinear materials subjected to extremely high strain rates. This Lagrangian finite element program uses an explicit time integration operator to integrate the equations of motion. Four node uniform strain quadrilateral elements are used in the finite element formulation. A number of new numerical algorithms which have been developed for the code are described in this report. An adaptive time step control algorithm is described which greatly improves stability as well as performance in plasticity problems. A robust hourglass control scheme which eliminates hourglass distortions without disturbing the finite element solution is included. All constitutive models in PRONTO are cast in an unrotated configuration defined using the rotation determined from the polar decomposition of the deformation gradient. An accurate incremental algorithm was developed to determine this rotation and is described in detail. A robust contact algorithm was developed which allows for the impact and interaction of deforming contact surfaces of quite general geometry. A number of numerical examples are presented to demonstrate the utility of these algorithms. 41 refs., 51 figs., 5 tabs.},
doi = {10.2172/6671798},
url = {https://www.osti.gov/biblio/6671798}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Mar 01 00:00:00 EST 1987},
month = {Sun Mar 01 00:00:00 EST 1987}
}