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Structural Engineering and Mechanics Volume 4, Number 2, March 1996 , pages 139148 DOI: https://doi.org/10.12989/sem.1996.4.2.139 


Inelastic vector finite element analysis of RC shells 

Min CS, Gupta AK


Abstract  
Vector algorithms and the relative importance of the four basic modules (computation of element stiffness matrices, assembly of the global stiffness matrix, solution of the system of linear simultaneous equations, and calculation of stresses and strains) of a finite element computer program for inelastic analysis of reinforced concrete shells are presented. Performance of the vector program is compared with a scalar program. For a cooling tower problem, the speedup factor from the scalar to the vector program is 34 for the element stiffness matrices calculation, 25.3 for the assembly of global stiffness matrix, 27.5 for the equation solver, and 37.8 for stresses, strains and nodal forces computations on a Gray YMP. The overall speedup factor is 30.9. When the equation solver alone is vectorized, which is computationally the most intensive part of a finite element program, a speedup factor of only 1.9 is achieved. When the rest of the program is also vectorized, a large additional speedup factor of 15.9 is attained. Therefore, it is very important that all the modules in a nonlinear program are vectorized to gain the full potential of the supercomputers. The vector finite element computer program for inelastic analysis of RC shells with layered elements developed in the present study enabled us to perform mesh convergence studies. The vector program can be used for studying the ultimate behavior of RC shells and used as a design tool.  
Key Words  
inelastic, inelasticity, nonlinear, nonlinearity, vector computer, vector programming, vector algorithm, finite element method, finite element analysis, reinforced concrete shells  
Address  
Min CS, CHEJU NATL UNIV,DEPT OCEAN & CIVIL ENGN,CHEJU 690756,SOUTH KOREA N CAROLINA STATE UNIV,CTR NUCL POWER PLANT STRUCT EQUIPMENT & PIPING,RALEIGH,NC 27695  