Elasticity Solutions Versus Asymptotic Sectional Analysis of Homogeneous, Isotropic, Prismatic Beams

134 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Refined beam elements with only displacement variables and plate/shell capabilities (2012, unknown): “[36] and Yu and Hodges [35].”
Guidelines and Recommendations to Construct Theories for Metallic and Composite Plates (2010, unknown): “[46–48].”
Constitutive models for strongly curved beams in the frame of isogeometric analysis (2016, background): “Actually, there exist mechanical models which are especially well suited for beams with large curvature, see for example the classic paper byWinkler [17] (that will be shortened by the symbol W), which is based on simple kinematic assumptions or, more recently, those based on variational asymptotic ”
Recent developments on refined theories for beams with applications (2015, unknown): “In order to overcome this limitation and to be able to deal with anisotropic and non-homogenous materials, as well as arbitrary cross-sections, the VABS has been developed (Volovoi et al., 1999; Wang and Yu, 2014; Yu and Hodges, 2004, 2005; Yu et al., 2002).”
Refined beam elements with arbitrary cross-section geometries (2010, methodology): “Yu and Hodges [15] have used VABS to analytically solve the isotropic prismatic beam problem.”