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Author : Nikolai Mitrofanovich Krylov,Nikolai Nikolaevich Bogoliubov
Publisher : Princeton University Press
Page : 126 pages
File Size : 44,9 Mb
Release : 1950-01-20
Category : Mathematics
ISBN : 0691079854
The description for this book, Introduction to Non-Linear Mechanics. (AM-11), Volume 11, will be forthcoming.
Author : Nikolai Mitrofanovich Krylov
Publisher : Unknown
Page : 0 pages
File Size : 45,9 Mb
Release : 1947
Category : Electronic
ISBN : OCLC:1411876721
Author : Nikolaj M. Krylov,Nikolaj N. Bogoljubov
Publisher : Unknown
Page : 106 pages
File Size : 50,5 Mb
Release : 1952
Category : Electronic
ISBN : OCLC:314615949
Author : Nicolai Minorsky
Publisher : Unknown
Page : 488 pages
File Size : 51,5 Mb
Release : 1947
Category : Mechanics, Analytic
ISBN : UOM:39015014356128
Author : Jacques Besson,Georges Cailletaud,Jean-Louis Chaboche,Samuel Forest
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 48,9 Mb
Release : 2009-11-25
Category : Science
ISBN : 9789048133567
In mechanical engineering and structural analysis there is a significant gap between the material models currently used by engineers for industry applications and those already available in research laboratories. This is especially apparent with the huge progress of computational possibilities and the corresponding dissemination of numerical tools in engineering practice, which essentially deliver linear solutions. Future improvements of design and life assessment methods necessarily involve non-linear solutions for inelastic responses, in plasticity or viscoplasticity, as well as damage and fracture analyses. The dissemination of knowledge can be improved by software developments, data base completion and generalization, but also by information and training. With such a perspective Non-Linear Mechanics of Materials proposes a knowledge actualization, in order to better understand and use recent material constitutive and damage modeling methods in the context of structural analysis or multiscale material microstructure computations.
Author : Nikolaĭ Mitrofanovich Krylov,N. Bogoliuboff
Publisher : Unknown
Page : 0 pages
File Size : 54,5 Mb
Release : 1947
Category : Differential equations
ISBN : LCCN:lc43001901
Author : Demeter G. Fertis
Publisher : CRC Press
Page : 488 pages
File Size : 43,9 Mb
Release : 1993-09-27
Category : Mathematics
ISBN : UCSD:31822015143449
Nonlinear Mechanics presents new theories and methods of analysis that simplify solving extremely difficult problems in nonlinear mechanics. It is the only text that provides a comprehensive treatment of structural components with variable thickness and a variable modulus of elasticity. It is also the only text that provides a comprehensive discussion with closed-form solutions for the dynamic and inelastic analysis of members and plates that are subjected to small and large deformations by including axial and vertical restraints. By including static, dynamic, and inelastic analysis, exact and approximate solutions are examined in detail for complicated problems. The method of Equivalent Systems [developed by the author] provides a convenient and exact solution to complicated problems that cannot be solved with existing closed-form methods. This book is an excellent text/reference for practitioners and students in civil, mechanical, aeronautical, and polymer engineering. It also will be valuable as a text for introductory senior/first-year graduate courses in nonlinear mechanics.
Author : Nikolaĭ Mitrofanovich Krylov,Nikolaĭ Nikolaevich Bogoli︠u︡bov
Publisher : Unknown
Page : 106 pages
File Size : 52,8 Mb
Release : 1949
Category : Differential equations
ISBN : OCLC:164603806
Author : Nikolai Mitrofanovich Krylov,Nikolai Nikolaevich Bogoliubov
Publisher : Princeton University Press
Page : 106 pages
File Size : 45,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882274
The description for this book, Introduction to Non-Linear Mechanics. (AM-11), Volume 11, will be forthcoming.
Author : John D. Clayton
Publisher : Springer Science & Business Media
Page : 709 pages
File Size : 41,8 Mb
Release : 2010-11-01
Category : Science
ISBN : 9789400703506
This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.
Author : Nikolaĭ Mitrofanovich Krylov,Nikolaĭ Nikolaevich Bogoli͡ubov,Solomon Lefschetz
Publisher : Unknown
Page : 128 pages
File Size : 50,6 Mb
Release : 1943
Category : Differential equations
ISBN : STANFORD:36105030766260
Author : Adnan Ibrahimbegovic
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 53,9 Mb
Release : 2009-06-02
Category : Computers
ISBN : 9789048123308
This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.
Author : Georgios A. Drosopoulos,Georgios E. Stavroulakis
Publisher : CRC Press
Page : 286 pages
File Size : 45,5 Mb
Release : 2022-04-26
Category : Science
ISBN : 9781000579079
Nonlinear Mechanics for Composite Heterogeneous Structures applies both classical and multi-scale finite element analysis to the non-linear, failure response of composite structures. These traditional and modern computational approaches are holistically presented, providing insight into a range of non-linear structural analysis problems. The classical methods include geometric and material non-linearity, plasticity, damage and contact mechanics. The cutting-edge formulations include cohesive zone models, the Extended Finite Element Method (XFEM), multi-scale computational homogenization, localization of damage, neural networks and data-driven techniques. This presentation is simple but efficient, enabling the reader to understand, select and apply appropriate methods through programming code or commercial finite element software. The book is suitable for undergraduate studies as a final year textbook and for MSc and PhD studies in structural, mechanical, aerospace engineering and material science, among others. Professionals in these fields will also be strongly benefited. An accompanying website provides MATLAB codes for two-dimensional finite element problems with contact, multi-scale (FE2) and non-linear XFEM analysis, data-driven and machine learning simulations.
Author : Nikolaj Valdimirovich Krylov,Nikolaj Nikolaevǐc Bogoljubov
Publisher : Unknown
Page : 106 pages
File Size : 46,8 Mb
Release : 1959
Category : Electronic
ISBN : OCLC:221153902
Author : Gerhard A. Holzapfel
Publisher : Unknown
Page : 482 pages
File Size : 41,9 Mb
Release : 2000-04-06
Category : Mathematics
ISBN : STANFORD:36105028490071
Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.