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Argyris, J. H.

An excursion into large rotations. (English) Zbl 0505.73064

Comput. Methods Appl. Mech. Eng. 32, 85-155 (1982).
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Cited in 2 Reviews
Cited in 143 Documents

MSC:

74K99 Thin bodies, structures
74B20 Nonlinear elasticity

Keywords:

large rotations; novel matrix formulation of finite rotations; rotation about arbitrary axis; multiple rotations about fixed or follower axes; single compound rotation vector; equivalent to two consecutive arbitrary rotations; semitangential rotations; strains; uniqueness of solution along a loading path; isothermal and quasistatic motions; concept of bifurcation; large and reformulation of quarternions
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\textit{J. H. Argyris}, Comput. Methods Appl. Mech. Eng. 32, 85--155 (1982; Zbl 0505.73064)
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References:

[1] Argyris, J.H., Nonlinear finite element analysis of elastic systems under nonconservative loading—natural formulation. part I. quasistatic problems, Comput. meths. appl. mech. engrg., 26, 75-123, (1981) · Zbl 0463.73073
[2] Argyris, J.H.; Dunne, P.C.; Scharpf, D.W.; Argyris, J.H.; Dunne, P.C.; Scharpf, D.W., On large displacement-small strain analysis of structures with rotational degrees of freedom, Comput. meths. appl. mech. engrg., Comput. meths. appl. mech. engrg., 15, 99-136, (1978) · Zbl 0413.73025
[3] Argyris, J.H., Finite element method—the natural approach, Comput. meths. appl. mech. engrg., 17/18, 1-106, (1979) · Zbl 0407.73058
[4] Rosenberg, R.M., Analytical dynamics of discrete systems, (1980), Plenum New York
[5] Hamel, G., Theoretische mechanik, (1949), Springer Berlin · Zbl 0036.24301
[6] Whittaker, E.T., A treatise on the analytical dynamics of particles and rigid bodies, (1944), Dover New York · Zbl 0061.41806
[7] Argyris, J.H.; Dunne, P.C.; Malejannakis, G.A.; Schelkle, E.; Argyris, J.H.; Dunne, P.C.; Malejannakis, G.A.; Schelkle, E., A simple triangular facet shell element with applications to linear and nonlinear equilibrium and elastic stability problems, Comput. meths. appl. mech. engrg., Comput. meths. appl. mech. engrg., 11, 97-131, (1977) · Zbl 0384.73056
[8] Ziegler, H., Principles of structural stability, () · Zbl 0383.70001
[9] Niewenglowski, B., Cours de Géométrie analytique, tome IV, () · JFM 52.0625.02
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