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Der Band enthalt die 22 Projektschlussberichte des DFG-
Schwerpunktes Nichtlineare Berechnungen im Konstruktiven
Ingenieurbau. Zusammen mit einem einleitenden Ubersichtsbeitrag
gibt das Buch damit den gegenwartigen Stand der nichtlinearen,
numerischen Mechanik der Kontinua unter Verwendung von
Finite-Element-Methoden wieder. Fur den Praktiker besonders
interessant ist der abschliessende Beitrag uber die DFG-BIB, eine
allgemein zugangliche Programmbibliothek.
The IUTAM-Symposium on "Finite Inelastic Deformations - Theory and
Applications" took place from August 19 to 23, 1991, at the
University of Hannover, Germany, with 75 participants from 14
countries. Scope of the symposium was a fundamental treatment of
new developments in plasticity and visco-plasticity at finite
strains. This covered the phenomenological material theory based on
continuum mechanics as well as the treatment of microstructural
phenomena detected by precise experimental datas. In a restricted
number, lectures on new experi mental facilities for measuring
finite strains were also implemented into the symposium. Another
important topic of the symposium was the treatment of reliable and
effective computational methods for solving engineering problems
with finite inelastic strains. Wi thin this context it was an
essential feature that theory, numerical and computational analysis
were be seen in an integrated way. In total 9 sessions with 37
lectures, many of them given by well known keynote-lecturers, and a
poster session with 10 contributions met fully our expectations of
a high ranking up-to-date forum for the interaction of four topics,
namely the physical and mathematical modelling of finite strain
inelastic deformations including localizations and damage as well
as the achievements in the numerical analysis and implementation
and the solution of complicated engineering systems. Special and
important features were reliable material datas from macroscopic
and microscopic tests as well as test results of complex
engineering problems, like deep drawing and extrusion."
This course with 6 lecturers intends to present a systematic survey
of recent re search results of well-known scientists on
error-controlled adaptive finite element methods in solid and
structural mechanics with emphasis to problem-dependent concepts
for adaptivity, error analysis as well as h- and p-adaptive
refinement techniques including meshing and remeshing. Challenging
applications are of equal importance, including elastic and
elastoplastic deformations of solids, con tact problems and
thin-walled structures. Some major topics should be pointed out,
namely: (i) The growing importance of goal-oriented and local error
estimates for quan tities of interest-in comparison with global
error estimates-based on dual finite element solutions; (a) The
importance of the p-version of the finite element method in
conjunction with parameter-dependent hierarchical approximations of
the mathematical model, for example in boundary layers of elastic
plates; (Hi) The choice of problem-oriented error measures in
suitable norms, consider ing residual, averaging and hierarchical
error estimates in conjunction with the efficiency of the
associated adaptive computations; (iv) The importance of implicit
local postprocessing with enhanced test spaces in order to get
constant-free, i. e. absolute-not only relative-discretizati- error
estimates; (v) The coupling of error-controlled adaptive
discretizations and the mathemat ical modeling in related
subdomains, such as boundary layers. The main goals of adaptivity
are reliability and efficiency, combined with in sight and access
to controls which are independent of the applied discretization
methods. By these efforts, new paradigms in Computational Mechanics
should be realized, namely verifications and even validations of
engineering models.
This collection of 23 articles is the output of lectures in special
sessions on "The History of Theoretical, Material and Computational
Mechanics" within the yearly conferences of the GAMM in the years
2010 in Karlsruhe, Germany, 2011 in Graz, Austria, and in 2012 in
Darmstadt, Germany; GAMM is the "Association for Applied
Mathematics and Mechanics", founded in 1922 by Ludwig Prandtl and
Richard von Mises. The contributions in this volume discuss
different aspects of mechanics. They are related to solid and fluid
mechanics in general and to specific problems in these areas
including the development of numerical solution techniques. In the
first part the origins and developments of conservation principles
in mechanics and related variational methods are treated together
with challenging applications from the 17th to the 20th century.
Part II treats general and more specific aspects of material
theories of deforming solid continua and porous soils. and Part III
presents important theoretical and engineering developments in
fluid mechanics, beginning with remarkable inventions in old Egypt,
the still dominating role of the Navier-Stokes PDEs for fluid flows
and their complex solutions for a wide field of parameters as well
as the invention of pumps and turbines in the 19th and 20th
century. The last part gives a survey on the development of direct
variational methods - the Finite Element Method - in the 20th
century with many extensions and generalizations.
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