Implicit three-dimensional finite-element formulation for the nonlinear structural response of reactor components

Technical Report · Mon Sep 01 04:00:00 EDT 1975

DOI:https://doi.org/10.2172/4089223· OSTI ID:4089223

Kulak, R F; Belytschko, T B

The formulation of a finite-element procedure for the implicit transient and static analysis of plate/shell type structures in three-dimensional space is described. The triangular plate/shell element can sustain both membrane and bending stresses. Both geometric and material nonlinearities can be treated, and an elastic-plastic material law has been incorporated. The formulation permits the element to undergo arbitrarily large rotations and translations; but, in its present form it is restricted to small strains. The discretized equations of motion are obtained by a stiffness method. An implicit integration algorithm based on trapezoidal integration formulas is used to integrate the discretized equations of motion in time. To ensure numerical stability, an iterative solution procedure with equilibrium checks is used. (auth)

• Research Organization: Argonne National Lab., Ill. (USA)
• NSA Number: NSA-33-019458
• OSTI ID: 4089223
• Report Number(s): ANL/RAS--75-39
• Country of Publication: United States
• Language: English

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