CISM - AIMETA Advanced School on Shell-like Structures: Advanced Theories and Applications
September 15, 2014 — September 19, 2014
- Holm Altenbach (Otto von Guericke University Magdeburg, Magdeburg, Germany)
- Victor A. Eremeyev (Otto-von-Guericke-University Magdeburg, Magdeburg, Germany)
Shell-like structures are widely used in engineering as basic structural elements. Such structures are also used in other branches of science as a model of analysis, e.g., in medicine, biology, nanotechnology, etc. New applications are primarily related to new materials – for example instead of steel or reinforced-concrete shells, now one has to analyze laminates, foams, functionally graded materials, shape-memory thin films, fullerenes, nanofilms, biological membranes, soft tissues, etc. The new trends in applications demand for improvements in the theoretical foundations of shell theory, since new effects must be taken into account. For example, surface effects play an important role in the mechanical analysis of small-size shell-like structures (thin films, multi-walled nanotubes, …). Furthermore, all theoretical achievements must be supplemented by the development of consistent numerical tools.
The aim of this course is to present not only the mathematical aspects of the theory of plates and shells but also their applications in civil, aero-space and mechanical engineering, as well as in other emerging research areas. The focus of the course relates to the following problems:
– comprehensive review of the most popular theories of plates and shells;
– relations between three-dimensional theories and two-dimensional ones;
– presentation of recently developed refined plate and shell theories such as for example, micropolar theory or gradient-type theories;
– applications in modeling of complex structures (multi-folded, branching and/or self-intersecting shells, plates and shells made of foams, functionally graded materials, etc.);
– modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.;
– applications in modeling of non-classical objects, such as thin and nanofilms, nanotubes, and nanoparticles and biological membranes;
– presentations of effective numerical tools based on finite elements approach.
The course is addressed to doctoral students, young researcher, senior researchers and practicing engineers in mechanical engineering, civil engineering, aerospace engineering and mathematicians.