GAMM2025

Session

S24: History of applied mathematics and mechanics

S24

8 Apr 2025, 08:30

Lecture and Conference Centre

Conveners

S24: History of applied mathematics and mechanics: S24.01

• Holm Altenbach

Description

This section will provide a forum for the presentation of historical and/or speculative studies on mechanics focusing on the relations between concepts from antiquity up to now, which could be of interest to historians of mechanics and physics as well as researchers in mechanics. The contributions of those authors who have benefited from the study of old theories for developing current models in the field of applied mechanics and mathematics will be also considered. This in order to highlight the importance of historical and epistemological perspective setting for the current and future developments in science. With these aims in mind, topics of applications will include (but are not limited to): -Virtual work laws -Variational methods and conservation principles -Molecular foundation for continuum mechanics -Coarse graining processes and the use of Cauchy-Born rule -Continuum and statistical thermodynamics -Material deformation theories and experimental results in solid mechanics -Inelastic deformations, damage and fracture -Development and use of the Ricci’s tensor calculus in deformation theories of solids, shells and fluids -Mechanical models for ancient constructions

433. Fritz Noether - a great mathematician and victim of various political dictatorships

Holm Altenbach

08/04/2025, 08:30

Fritz Noether, Emmy Noether's younger brother, was a German mathematician who contributed in particular to the development of a new scientific discipline, applied mathematics. He worked as a professor at the Technische Hochschule Breslau and the State University of Tomsk, which brought him into conflict with two dictatorships. His tragic death can help us to better understand current political...

435. Investigation on the rolling sphere on a rotational surface – in memory of Fritz Nöther

Matthias Ziegenhorn

08/04/2025, 08:50

The approach using the formulations of the Lagrange functions allows the equations of motion to be established. These can be integrated using numerical methods and the trajectories calculated. Physical properties can be assigned to the mass. The spin is remarkable. Although the energy input is low, it has a significant influence on the movement of the ball. Friction can be taken into account...

436. The quest for explicit formulas for conformal mappings onto the unit circle: Mertens, Schwarz, and Christoffel

Peter Ullrich

08/04/2025, 09:30

Conformal mappings, i.e., complex differentiable bijective mappings, from one domain in the complex plane onto another domain preserve angles locally and therefore respect plane potential functions. This makes them useful in physics, for example in fluid mechanics and electrostatics. In particular, one is interested in finding a conformal mapping from a domain in the plane where a physical...

438. A graphical method for the synthesis of a container emptying mechanism

Jacek Buśkiewicz

08/04/2025, 09:50

The design of a new machine is preceded by an analysis focused on the optimum realisation of the expected utility functions. It is motivated by the desire to obtain the simplest possible solution that minimises power consumption. The most general definition calls synthesis the design of a mechanism involving the selection of the structural scheme and the dimensions of the links in order to...