Continuum bases and consistent numerical formulations of nonlinear continuum mechanics problems

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The referential-description, spatial-description, and relative-description formulations in the finite-element approach to continuum-mechanics problems are reviewed and developed. Explicit final incremental equilibrium equations are derived; similar formulations in the literature are compared; and sample problems are analyzed.

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Gadala, M. S., Oravas, G., & Dokainish, M. A. (1984). Continuum bases and consistent numerical formulations of nonlinear continuum mechanics problems. Solid Mechanics Archives, 9(1), 1-52.

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