1,722,144 research outputs found
Pénélope Agalopoulou. Basic Concepts of Greek Civil Law
No full textSoldatos Panayotis. Pénélope Agalopoulou. Basic Concepts of Greek Civil Law. In: Revue internationale de droit comparé. Vol. 57 N°3,2005. p. 821
Pénélope Agalopoulou. Basic Concepts of Greek Civil Law
No full textSoldatos Panayotis. Pénélope Agalopoulou. Basic Concepts of Greek Civil Law. In: Revue internationale de droit comparé. Vol. 57 N°3,2005. p. 821
Les Communautés européennes dans le dessein de politique internationale du Québec
No full textSoldatos Panayotis. Les Communautés européennes dans le dessein de politique internationale du Québec. In: Revue Québécoise de droit international, volume 3, 1986. pp. 11-25
On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity
Get PDFThis continuation of Part I (Soldatos, 2018) aims to make a connection between the polar linear elasticity for fibre-reinforce materials due to (Spencer and Soldatos, 2007; Soldatos, 2014, 2015) with the anisotropic version and the principal postulates of its counterpart due to (Mindlin and Tiersten, 1963). The outlined analysis, comparison and discussions are purely theoretical, and aim to collect and classify valuable information regarding the nature of continuous as well as weak discontinuity solutions of relevant well-posed boundary value problems. Emphasis is given on the fact that the compared pair of theoretical models has a common theoretical background (Cosserat, 1909) but different kinds of origin. Some new concepts and features, introduced in Part I, in association with linear elastic behaviour of materials having embedded fibres resistant in bending, are thus shown relevant to more general linearly elastic, anisotropic, Cosserat-type material behaviour. The different routes followed for the origination of the compared pair of models is known to produce identical results in the case of conventional (non-polar) linear elasticity. The same is here found generally non true in the polar elasticity case, although considerable similarities are also observed. No definite answers are provided regarding the manner in which existing differences might be bridged or, if at all possible, eliminated. These are matters that require further study and thorough investigation
On the characterisation of polar fibrous composites when fibres resist bending – Part III: The spherical part of the couple-stress
Get PDFPart II (Soldatos 2018b) identified some theoretical disagreement between the generally anisotropic polar linear elasticity of Mindlin and Tiersten (1962) and its counterpart developed in (Spencer and Soldatos, 2007; Soldatos, 2014) for fibrous composites with embedded fibres resistant in bending. The present communication shows that this disagreement is essentially due to inherent features of fibre-splay types of deformation and, consequently, generalises the couple-stress theory in a manner that creates room for newly emerged fibre-splay type of kinematic variables to enter and be accounted for. Relevant fundamental theorems, associate in Part II with the Mindlin and Tiersten model, are generalised accordingly to meet the needs and requirements of the proposed new formulation. Interestingly and importantly, the outlined generalisation enables formation of a convincing answer to a long-standing question regarding the indeterminacy of the spherical part of the couple-stress tensor, at least as far as polar elasticity of fibre-reinforced materials is concerned. The manner thus is demonstrated in which the spherical part of the couple-stress can be determined in polar linear elasticity of fibrous composites that exhibit transverse isotropy due to an embedded family of fibres resistant in bending
Vibration of completely free composite plates and cylindrical shell panels by a higher ordre theory
No full textRitz-type dynamic analysis of cross-ply laminated circular cylinders subjected to different boundary conditions
No full textInfluence of edge boundary conditions on the free vibrations of cross-ply laminated circular cylindrical panels
No full textApplication of the Ritz-method for the vibration of symmetric laminates by different functional bases
No full textDetermination of the Spherical Couple-Stress in Polar Linear Isotropic Elasticity
Get PDFIt is well known that the conventional couple-stress theory leaves the spherical part of the couple-stress indeterminate. This indeterminacy problem is recently resolved for fibrous composites subjected to either small or large deformations and containing a single family of fibres resistant in bending (Soldatos in Math. Mech. Solids, 2021, https://doi.org/10.1177/10812865211061595). However, the problem remains still unsolved in simpler cases where the implied preference material direction is not related to fibre bending resistance, and even in the simplest possible case where the polar material of interest is linearly elastic and isotropic. This communication aims (i) to show that a relevant virtual spin concept employed (Soldatos in Math. Mech. Solids, 2021, https://doi.org/10.1177/10812865211061595) is further applicable in the latter case of polar linear isotropic elasticity, (ii) to demonstrate the process in which that concept thus leads to determination of the spherical part of the couple-stress, (iii) to exemplify this process by providing a couple of simple illustrative examples, (iv) to specify and discuss the reason that the outlined method meets a hurdle in cases of linear anisotropic elasticity that is due to one or more preferential material directions, and, hence, (v) to further discuss the manner in which that newly identified difficulty is currently confronted, and may thus be handled successfully
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