Eine direkt formulierte lineare Theorie für viskoelastische Platten und Schalen

Übersicht Eine Möglichkeit der Entwicklung einer allgemeinen Theorie für Platten und Schalen besteht in der Modellierung des Flächentragwerks durch ein zweidimensionales deformierbares Kontimmm und der direkten Ableitung der kinematischen Beziehungen, der Bewegungsgleichungen und der konstitutiveu Gleichungen. Eine so erhaltene Theorie ist mathematisch und physikalisch widerspruchsfrei, jedoch ist es für ihre Anwendung notwendig, die sogenannten Ersatzeigenschaften zu ermitteln. Im Beitrag wird eine geometrisch und physikalisch lineare Theorie behandelt. Jeder Punkt des Kontinuums ist ein infinitesimal kleiner Starrkörper mit nur 5 Freiheitsgraden (3 Translationen, 2 Rotationen). Bei Annahme dieser Einschränkungen gelingt es, eine Theorie direkt abzuleiten, wobei alle Ersatzeigenschaften des Flächentragwerks bestimmt werden können. Im Beitrag werden die Möglichkeiten der allgemeinen Theorie am Beispiel isotropen viskoelastischen Materials mit über die Dicke veränderlichen Eigenschaften gezeigt. Die Theorie schließt die Betrachtung mehrschichtiger Flächentragwerke ein.

---

A directly formulated linear theory of viscoelastic plates and shells

Summary One kind to develop a general theory for plates and shells is the modelling of the structure as a two-dimensional deformable continuum and the direct approach to the kinematical relations, equations of motion and constitutive equations. Such a theory is physically and mathematically correct. For the application of such directly formulated theories it is nessecery to identify the so-called effective properties. In the paper the theory is formulated for geometrical and physical linearity. Each point of the continuum is an infinitesimal small rigid body with only 5 degrees of freedom (3 translations, 2 rotations). For such a kinematical assumption it is possible to develop a direct theory and to determinate all effective properties of the structure. The paper demonstrates the possibilities of the general theory for an isotropic viscoelastic plate with material properties varying over the thickness. The theory includes also the analysis of multilayered plates and shells.

     

Stress state calculation of a repair of a uni- or biaxially loaded laminate structure

The growing use of fibre-reinforced plastics requires adequate maintenance and repair behavior of these materials compared with the traditional metallic alloys. Due to the low tensile strength of fibre-reinforced materials perpendicular to the fibre direction, a bonded repair is the most suitable one and it will be considered in this paper. Based on the classical lamination theory, a model for the calculation of the shear stresses in a bonded repair under biaxial loading is developed. In addition to a simple model neglecting the stresses perpendicular to the laminate-plane, which is applied for a uni- and biaxial load case, a more complex model taking these stresses into account is developed. These models allow an estimation of whether a damaged shell can be repaired or must be replaced.Presented at the Ninth International Conference on the Mechanics of Composite Materials (Riga, October, 1995).Published in Mekhanika Kompozitnykh Materialov, Vol. 31, No. 3, pp. 351–362, May–June, 1995.     

Chiral auxiliary based approach toward the synthesis of C-glycosylated amino acids

[reaction in text] In a chiral auxiliary based method C-glycosylated amino acids can be obtained by a 1,3-dipolar cycloaddition of a chiral glycine equivalent and C-1 allyl- or vinyl-derived carbohydrate building blocks as the key step. The products are formed regio- and diastereoselectively. Reductive cleavage of the N-O bond of the isoxazolidine and of the chiral auxiliary leads to C-glycosylated amino acids. The use of (-)-menthone to (+)-menthone as the auxiliary leads to the corresponding diastereomers.