Die Mechanik, eine der ältesten logischen Wissenschaften, hat in ihrer Entwicklung sowohl physika­lische als auch durch das Inge­nieurwesen geprägte Traditionen herausgebildet, die gegenwärtig in unterschiedlichen wissenschaft­lichen Auffassungen über ihre Grundlagen münden. Die Statik der Körper in der Technischen Mechanik beruht seit langem auf dem Schnittprinzip und den unab­hängigen Bilanzen von Kräften und Momenten. Die Physik gründet Statik und Kinetik auf den newtonschen Axiomen für Sys­teme von Punktmassen und ist prinzipiell nicht auf den Momentenbegriff angewiesen. Eine Mischung der unterschiedlichen Konzepte liefert Grundgleichun­gen, deren Strukturen mit forma­len Mängeln behaftet sind. Die Vermeidung dieser Mängel wird an der Einführung in die Tech­nische Mechanik demonstriert.:Einleitung Die Struktur der Grundgleichungen in der allgemeinen Mechanik Die Struktur der statischen Grundgleichungen in der Technischen Mechanik Schlussfolgerungen für die Struktur der kinetischen Grundgleichungen in der Technischen Mechanik Literatur / For a long time, the statics of free bodies in engineering mechanics has been based on the indepen­dent balances of forces and moments. In physics, statics and kinetics are founded on Newton´s axioms and, in principle, do not require the notion of moment. A mixture of the two concepts pro­vides basic equations with formal shortcomings. For an introduction in the engineering mechanics, it is demonstrated how these shortcomings are to be avoided.:Einleitung Die Struktur der Grundgleichungen in der allgemeinen Mechanik Die Struktur der statischen Grundgleichungen in der Technischen Mechanik Schlussfolgerungen für die Struktur der kinetischen Grundgleichungen in der Technischen Mechanik Literatur

The paper examines the problem of film stress applying a correct three dimensional model. The results are compared with two different forms of Stoney´s equation existing in the Litera-ture and being widely used in the determination of stresses in thin films. It is shown theoretically that only one of the forms is based on an adequate model and yields accurate results whereas the other causes errors of about 30-40 % for typical substrate materi-als. In addition limits for the applicability of the correct Stoney equation are given.

Within this paper recently developed mathematical tools for the modelling of contact problems on thin film structures [1] for multilayers and gradient coatings are adapted to allow the investigation of laminate structures of transversal isotropy. Applying series approaches using Bessel and Sinus functions complete three dimensional solutions can be found for relatively complex laminate structures allowing to model quasistatic contact, impact and bending loads. Worked into a small computer program the approach can be used to model laminate structures with up to 100 different layers on an ordinary personal computer in an acceptable calculation time. The new tool is applied to analyse a variety of load problems typically occurring in windsurfing and leading to damage of the boards consisting of a laminated shell and an polymer foam core. [1] N. Schwarzer: „Modelling of the mechanics of thin films using analytical linear elastic approaches“, habilitation thesis of the TU-Chemnitz 2004, department “Physics of solid bodies”, http://archiv.tu-chemnitz.de/pub/2004/0077

The following links contain the Documentation and Prototype of the software FilmDoctor with simple intrinsic stress module

Recently developed mathematical tools for the modelling of contact problems on thin film structures are adapted to allow the investigation of arbitrarily mixed purely isotropic and transversally isotropic laminate structures. The new tool is applied to model a variety of load problems resulting in the failure of windsurfing boards consisting of a relatively thin laminate shell and a soft polymer foam core. It is shown that local impact and distributed bending loads due to “bad landing” after high jumps or contact with parts of the sailing gear (the so called rig) especially the front part of the boom are leading to the most critical stress distributions resulting in failure. So most of the investigated boards were damaged because the rider (windsurfer) landed flat and thus produced a sudden impact force under his feet (impact defect). Other overloading occurred due to overturning of so called loop movements or the landing of the board exactly on respectively between two waves and this way producing high bending moments. Some of those typical loads are analysed in detail and the stresses occurring in the complex structure of the windsurfing boards are evaluated.

Nowadays, high demands are made on filling materials in modern dentistry: Durability, Reliability &Aesthetic Requirements Thus, a group of physicists and an independent practicing dentist investigated 11 different teeth fillings (composite materials) as used in modern dental practices according to their stability and ability to withstand contact loadings.

The paper treats the question of feasibility of measuring intrinsic thin film stresses due to nanoindentation. A variety of different methods is proposed and analysed with respect to their applicability. As this accuracy-estimation results in boundary conditions for the measurements which can not be fulfilled yet, the whole topic is considered from a purely academic point of few. With the help of a special software package [25] the following methods are considered: 1. Taking the moment of beginning plastic flow within the substrate as indictor, 2. Taking the moment of beginning plastic flow within the film as indictor, 3. Applying mixed loads (normal and lateral forces), 4. Applying the concept of the effectively shaped indenter. While the methods 2 to 4 appear to be in principle feasible, method 1 can completely be ruled out as being of no practical use. The mentioned software package (FilmDoctor prototype) is part of the supplemental material of this study.

Motivated by the structure of the normal surface stress of the extended Hertzian approach [1] given due to terms of the form r^2n*(a^2-r^2)^(1/2) (n=0, 2, 4, 6…) it seems attractive to evaluate the complete elastic field also for shear loadings of this form. The reason for this lays in the demand for analytical tools for the description of mixed loading conditions as they appear for example in scratch experiments. [1] N. Schwarzer, "Elastic Surface Deformation due to Indenters with Arbitrary symmetry of revolution", J. Phys. D: Appl. Phys., 37 (2004) 2761-2772

In this paper it is shown that a completely analytical theory based on the extended Hertzian approach together with additional considerations taking into account the geometrical conditions of a curved surface provide an appropriate model for the theoretical “simulation” of a variety of asperity contact problems. This model yields relatively fast and easy to use tools for the analysing of contact problems arising in connection with rough surfaces. In this study the results are shown on the example of a 3µm-DLC-coating on a steel substrate with asperities of about 100µm in diameter and 15µm height. It is found, that – under a general average pressure of 1GPa – the ideal asperity tip contact situation would lead to severe damage due to plastic flow within the steel substrate. On the other hand a rather conforming contact situation appears to be completely non critical.

In der 175-jährigen Geschichte der Technischen Universität Chemnitz nimmt die Technische Mechanik im Kanon der technikwissenschaftlichen Disziplinen eine exponierte Stellung ein, zählt sie doch zu jenen Grundlagenfächern, die bereits nach Gründung der Königlichen Gewerbschule im Jahre 1836 auf dem Lehrplan standen und im Fortgang der Schulentwicklung stete Ausformung und Bereicherung erfuhren. Getragen von einer Vielzahl von Lehrer- und Forscherpersönlichkeiten, die überwiegend auf langjährige praktische Erfahrungen in renommierten Betrieben und unterschiedlichen gesellschaftlichen Bereichen verweisen konnten, nahm das Fachgebiet bis zur Gegenwart eine bemerkenswerte Entwicklung. Heute stellt es einen wichtigen Eckpfeiler der Fachausbildung dar und wird nicht nur von den Studenten im Maschineningenieurwesen, sondern auch von zahlreichen tangierenden Disziplinen wahrgenommen. Erstmals wird diese historische Entwicklung aus verschiedenen Perspektiven zusammengefasst, indem sowohl die Entwicklung der Lehrinhalte als auch die Spezifik der jeweiligen Ausbildungsgegebenheiten eingehender beschrieben wird. Dabei finden Lehrende wie Lernende, aber auch Forschung und Entwicklung, wissenschaftliches Leben, internationale Zusammenarbeit und Publizistik gleichermaßen Berücksichtigung. Das Buch ist das Resultat langjähriger Forschungsarbeiten, die im Zusammenhang mit der Geschichte der Bildungseinrichtung und zu ausgewählten Themen der Wissenschaftsentwicklung unter der Obhut der Professur Wissenschafts-, Technik- und Hochschulgeschichte geleistet wurden, und als ein Beitrag zum Jubiläum »175 Jahre TU Chemnitz« zu verstehen. / During the 175 years history of the Technical University of Chemnitz technical mechanics has been one of the basic disciplines of the engineering sciences. From the Higher Vocational School`s foundation in 1836 it has been part of the curriculum and has experienced continuous enrichment and refinement. As a result of excellent work of a large number of academic researchers and teachers, most of them with a background at renowned industrial companies and in diverse social areas, this scientific field experienced a remarkable development. Today it represents an important cornerstone of the curriculum and is studied not only by mechanical engineering students but also by many others from neighboring disciplines. For the first time this historical development is presented from different perspectives, dealing in depth with the evolution of the different subjects taught and also with the specifics of the conditions of academic teaching. In this context, academic teachers and students, research and development, academic life, international cooperation as well as publications are dealt with. This book is the outcome of longstanding research pursued by the Chair of the History of Science, Technology and Higher Learning on selected topics of the history of science and academic education. It is a contribution to the 175th anniversary of the Technical University of Chemnitz.