caa a22 4500 467949360 CHVBK 20180405193740.0 cr unu---uuuuu 170328e20041201xx s 000 0 eng 10.1007/BF02637197 doi (NATIONALLICENCE)springer-10.1007/BF02637197 (NATIONALLICENCE)springer-10.1007/s00419-004-0344-7 Ruta G. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma "La Sapienza”, via Eudossiana 18, I-00184, Roma aut On inner constraints in plane circular arches [Elektronische Daten] [G. Ruta] Summary: A one-dimensional model of plane circular arches with rigid sections is introduced. Suitable strain measures are defined as deviations from rigid displacements. If the arch is thin, constitutive arguments make the shearing strain negligible. Hence, the shearing indeformability will be assumed as inner constraint. By means of a formal power series expansion of the exact measures of deformation it is shown that the shearing indeformability implies some constraints on the axial strain. In particular, the first-order axial strain must vanish in the case of infinitesimal displacements. The same procedure is applied to pure flexible arches, in order to compare the two sets of results. It is shown that the hypothesis of finite pure flexibility is not compatible with small deformations of the arch. An example is provided to evaluate the effects of the two constraints at the first non-linear step of the perturbation expansions. Springer-Verlag, 2004 plane circular arch nationallicence inner constraint nationallicence perturbation expansion nationallicence Archive of Applied Mechanics Springer-Verlag 74/3-4(2004-12-01), 212-222 0939-1533 74:3-4<212 2004 74 419 https://doi.org/10.1007/BF02637197 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02637197 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ruta G. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma "La Sapienza”, via Eudossiana 18, I-00184, Roma aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 74/3-4(2004-12-01), 212-222 0939-1533 74:3-4<212 2004 74 419 NATIONALLICENCE 100 1- Ruta G. C. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma "La Sapienza” via Eudossiana 18, I-00184, Roma aut NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-004-0344-7 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer