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The paper is focussed on the robustness of parallel computation in the case of buckling and post-buckling analyses. In the nonlinear context, domain decomposition methods are mainly used as a solver for the tangent problem solved at each iteration of a NewtonâRaphson algorithm.
O Allix
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Dynamic Buckling of a Nonlinear Timoshenko Beam
SIAM Journal on Applied Mathematics, 1979The transient motion that results when an ended-loaded column buckles is studied using a nonlinear Timoshenko beam theory. The two-time method is used to construct an asymptotic expansion of the solution. The results are then compared with those of a previous analysis of the same problem that employed the Euler-Bernoulli beam theory.
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