A method to derive Green's functions and Poisson's integral formulas in thermoelasticity.

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New closed-form thermoelastostatic Green function and Poisson-type integral formula for a quarter-plane

International audienceA new Green's function and a new Poisson-type integral formula for a boundary value problem (BVP) in thermoelastostatics for a quarter-plane subject by mixed homogeneous mechanical boundary conditions are derived in this paper. The thermoelastic displacements are generated by a heat source, applied in the inner points of the quarter-plane and by temperature, prescribed on its boundary semi-straight-lines. All results, obtained in terms of elementary functions, are formulated in a special theorem. The first difficulty to obtain these results is in deriving the functions of influence of a unit concentrated force onto elastic volume dilatation Theta((k)). The second difficulty is in calculating a volume integral of the product of function Theta((k)) and Green's function G in heat conduction. A closed-form solution for a particular BVP of thermoelastostatics for a quarter-plane also is included. Using the proposed approach, it is possible to extend the obtained results not only for any canonical Cartesian domain, but also for any canonical orthogonal one

New results in construction of the Green's matrices in spherical coordinates

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Influence functions and integral formulae for spherical thermoelastic bodies

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The theta-G convolution method for Green's type integral formulas derivation

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Dermatoses professionnelles : démarche diagnostique pluridisciplinaire et outil de dépistage au cabinet [Occupational dermatoses: management for general practitioners and an interdisciplinary collaboration model]

Dermatoses are among the most frequent diseases related to working conditions. Nevertheless, there is an under-reporting of occupational diseases and the management of patients with either a possible occupational dermatosis or a condition aggravated by work which could be improved. The aim of this article is to present the most common occupational dermatoses, a multidisciplinary diagnostic approach to them and to propose a screening tool for occupational exposures