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Non-Linear Theory of Elasticity and Optimal Design

Sprache: Englisch.
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To select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimens … weiterlesen
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Produktdetails

Titel: Non-Linear Theory of Elasticity and Optimal Design
Autor/en: L. W. Ratner

ISBN: 0444514279
EAN: 9780444514271
Sprache: Englisch.
ELSEVIER LTD

November 2003 - gebunden - 279 Seiten

Beschreibung

To select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimensions of a structure that are required by the stress distributed in a structure can be calculated.

Inhaltsverzeichnis

Part 1 Developing the reliable theory for optimal structure: the practical problems; foundation of non-linear theory of elasticity; comparative analysis of the linear and non-linear theories; devising non-linear theory of elasticity; principles of logic in NLTE; method of optimal structural design; on mathematics in physics; on the nature of limit of elasticity; on the nature of proof in physical theory; history of theory of elasticity; on the principles of non-linear theory. Part 2 Linear theory of infinitesimal deformations: the principles of LTE; stress; deformation; Hooke's law; geometric characteristics; combination of stresses. Part 3 Optimization of the typical structures: introduction; tension/compression; torsion; bending; combined stresses; continuous beams; elastic stability of thin shells; elastic stability of plates; dynamic stresses; testing Materials. Part 4 Further discussions in the theory of elasticity: Graph analysis; geometrical models of physical functions; the equation of elastic line and NLTE. Part 5 Philosophy and logic of physical theory: philosophical background of the non-linear theory of elasticity; logic and physical theory; role of logic in science; general argument; the rules of logic; logic of construction non-linear theory of elasticity; the definitive logic; it is possible to prove a physical theory; notes on logic; the commentaries on "preface to logic" by Morris R.Cohen; the commentaries on "An Introduction to the Philosophy of Science" by Rudolf Carnap; definition of scientific law; induction; concepts in science; measurement; geometry and a theory; kant's synthetic a priori; notes on methodology of science; on nature of a scientific theory; the theory of elasticity as an organized knowledge; flow-chart diagram; logical structure of non-linear theory of elasticity; logic in mathematics; on explanation of a physical theory; inferential conception of explanation; the causal conception of scientific explanation; theory and observation; validation of scientific theory; justificationism; falsificationism; conventionalism; the testing paradigm of scientific inference; in summary; on the logic of truth-function; on the logic of classes.
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