NESC0974 NONSAP-C.

1. NAME OR DESIGNATION OF PROGRAM:  NONSAP-C.

3. DESCRIPTION OF PROBLEM OR FUNCTION

NONSAP-C is a finite element program for determining the static and dynamic response of three- dimensional reinforced concrete structures. Long-term, or creep, behavior of concrete structures can also be analyzed. Nonlinear constructive relations for concrete under short-term loads are incorporated in two time-independent models, a variable-modulus approach with orthotropic behavior induced in the concrete due to the development of different tangent moduli in different directions  and an elastic-plastic model in which the concrete is assumed to be  a continuous, isotropic, and linearly elastic-plastic strain- hardening-fracture material. A viscoelastic constitutive model for long-term thermal creep of concrete is included.
Three-dimensional finite elements available in NONSAP-C include a truss element, a multinode tendon element for prestressed and post-  tensioned concrete structures, an elastic-plastic membrane element to represent the behavior of cavity liners, and a general isoparametric element with a variable number of nodes for analysis of solids and thick shells.

4. METHOD OF SOLUTION

NONSAP-C uses the isoparametric finite element  formulation. Dynamic problems are solved by integration of the equa- tions of motion in the time domain using either the Wilson-Theta or  Newmark-Beta integration algorithms. Equilibrium iteration or stiffness reformulation schemes can be applied in solving the nonlinear discretized equations.

5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

An out-of-core equation solver for large systems of linear equations allows practically unlimited problem size. The truss and tendon elements are assumed to have constant area. The tendon element cannot be used in geometrically nonlinear analyses. The membrane element can have from 4 to 8 nodes and the general three-dimensional isoparametric element from 8 to 21.

6. TYPICAL RUNNING TIME

A problem with 10,569 equations and a half bandwidth of 532 required 2750 CPU seconds on a CDC7600. The longest running sample problem requires about 670 CPU seconds on a CDC7600.

The test cases included in this package have been run at NEA-DB on a CDC CYBER 830 computer. The following CPU times (in seconds) were found: case 1: 48; case 2: 113; case 3: 1120

7. UNUSUAL FEATURES OF THE PROGRAM

Time-independent and time- dependent concrete constitutive relations are available, and a reinforced concrete material model which allows for concrete cracking is included.

8. RELATED AND AUXILIARY PROGRAMS

NONSAP-C is based on the NONlinear  Stress Analysis Program, NONSAP. A companion code, INGEN (NESC Abstract 975), which is a general-purpose two- and three-dimensional mesh generator for use with finite element programs, can serve as a
preprocessor for NONSAP-C. MOVIE.LASL, which is a LANL interactive graphics program for display of finite element models and results of finite-element analysis programs, can serve as a postprocessor.

10. REFERENCES

- C.A. Anderson, P.D. Smith, and L.M. Carruthers,
  NONSAP-C: A Nonlinear Stress Analysis Program for Concrete
  Containments Under Static, Dynamic, and Long-Term Loadings,
  NUREG/CR-0416 (LA-7496-MS Rev. 1), January 1982.
- K.J. Bathe, E.L. Wilson, and R.H. Iding,
  NONSAP-A Structural Analysis Program for Static and Dynamic
  Response of Nonlinear Systems,
  UC-SESM-74-3, February 1974.
- P.D. Smith, W.A. Cook, and C.A. Anderson,
  Finite Element Analysis of Prestressed Concrete Reactor Vessel,
  Paper H2/5, 4th International Conference on Structural Mechanics
  in Reactor Technology,
  San Francisco, California, August 1977.
- William A. Cook,
  Validation Experiences with a Nonlinear Shell of Revolution in
  ADINA and NONSAP,
  LA-9237-MS, February 1982.

-  P.D. Smith, C.A. Anderson :
   NONSAP-C: A Nonlinear Stress Analysis Program for Concrete
  Containments Under Static, Dynamic, and Long-Term Loadings
  NUREG/CR-0416 LA-7496-MS (January 1978)

11. MACHINE REQUIREMENTS

Approximately 115K (octal) words of small core memory and 345K (octal) words of large core memory and 19 disk  files are used by the program.

To run the test cases on a CDC CYBER 830 computer, 160,000 (octal) words of small core storage (SM) and 345,000 (octal) words of large core memory (LM) were required.

13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  LTSS (CDC7600), SCOPE 2.1.5 (CDC7600).

NOS2.5.1 (CDC CYBER 830).

14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS

NONSAP-C uses EISPACK subroutines (NESC Abstract 534) to calculate eigenvalues and eigenvectors.

15. NAME AND ESTABLISHMENT OF AUTHOR

             C.A. Anderson, P.D. Smith,
             L.M. Carruthers, and C. Taylor
             Los Alamos National Laboratory
             P.O. Box 1663
             Los Alamos, New Mexico 87545

File name	File description	Records
NESC0974_01.001	This information file	58
NESC0974_01.002	JCL and control information	31
NESC0974_01.003	NONSAP-C source program	12091
NESC0974_01.004	Input sample problem 1	41
NESC0974_01.005	Input sample problem 2	43
NESC0974_01.006	Input sample problem 3	89
NESC0974_01.007	Input sample problem 4	525
NESC0974_01.008	Input sample problem 5	1512
NESC0974_01.009	Input sample problem 6	79
NESC0974_01.010	Input sample problem 7	302
NESC0974_01.011	Input sample problem 8	76
NESC0974_01.012	Input sample problem 9	39
NESC0974_01.013	Input sample problem 10	85
NESC0974_01.014	Input sample problem 11	777
NESC0974_01.015	Input sample problem 12	1328
NESC0974_01.016	Output sample problem	6864