Foundations of the Theory of Elasticity Plasticity and Viscoelasticity

In practice, analogous problems are encountered at metal forming, metal cutting,
and in calculations of marginal states of construction foundations. The plastic
deformation of materials within the theory of flow is identified with a viscous fluid ...

Author: Eduard Starovoitov

Publisher: CRC Press

ISBN: 1926895118

Category: Science

Page: 320

View: 225

Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity. The book includes all modern methods of research as well as the results of the authors’ recent work and is presented with sufficient mathematical strictness and proof. The first six chapters are devoted to the foundations of the theory of elasticity. Theory of stress-strain state, physical relations and problem statements, variation principles, contact and 2D problems, and the theory of plates are presented, and the theories are accompanied by examples of solving typical problems. The last six chapters will be useful to postgraduates and scientists engaged in nonlinear mechanics of deformed inhomogeneous bodies. The foundations of the modern theory of plasticity (general, small elastoplastic deformations and the theory of flow), linear, and nonlinear viscoelasticity are set forth. Corresponding research of three-layered circular plates of various materials is included to illustrate methods of problem solving. Analytical solutions and numerical results for elastic, elastoplastic, lineaer viscoelastic and viscoelastoplastic plates are also given. Thermoviscoelastoplastic characteristics of certain materials needed for numerical account are presented in the eleventh chapter. The informative book is intended for scientists, postgraduates and higher-level students of engineering spheres and will provide important practical skills and approaches.

Foundations of Stress Waves

Foundation of the theory of plastic waves is 100 years later than that of elastic
wave theory. There are two key difficulties: one is the nonlinear stress–strain
relationship induced by plastic deformation, which needs to develop nonlinear
loading ...

Author: Lili Wang

Publisher: Elsevier

ISBN: 0080470971

Category: Technology & Engineering

Page: 548

View: 102

The primary objective of this work is to give the reader an understanding of stress wave behaviour while taking into account the dynamic constitutive equations of elastic-plastic solids. The author has combined a 'materials characteristics' approach with a 'singularity surface' approach in this work, which readers will find to be a novel and unique route to solving their problems. * Helps engineers understand the effects and behavior of stress waves in various materials * Aids in the process of engineering design, testing, and evaluation

Foundations of the Theory of Plasticity

Author: Lazar Markovich Kachanov


ISBN: 9780720423631

Category: Deformations (Mechanics)

Page: 482

View: 561

Plasticity and Geotechnics

chapter describes some of the fundamental elements of the theory of plasticity.
These elements include yield conditions, plastic potential and flow rule, principle

Author: Hai-Sui Yu

Publisher: Springer Science & Business Media

ISBN: 0387335994

Category: Science

Page: 522

View: 914

Plasticity and Geotechnics is the first attempt to summarize and present in a single volume the major achievements in the field of plasticity theory for geotechnical materials and its applications to geotechnical analysis and design. The book emerges from the author’s belief that there is an urgent need for the geotechnical and solid mechanics community to have a unified presentation of plasticity theory and its application to geotechnical engineering.

Elasto plastic Bending of Beams on Elastic Foundations

Assumptions of the Theory and Their Limitations The theory of plastic bending of
beams that is commonly used is an engineering theory . By this is meant that the
theory ...

Author: Paul Seide



Category: Girders

Page: 298

View: 634

Theory and Practice of Pile Foundations

4.8.3 Load and settlement response To assess pile capacity, the plastic solutions
are now transformed into functions ofthe capacity ratio np defined by Equation
4.52. The pile-head deformation from Equation 4.54 may be rewritten as wwLL n
L ...

Author: Wei Dong Guo

Publisher: CRC Press

ISBN: 0415809339

Category: Technology & Engineering

Page: 576

View: 859

Pile Foundations are an essential basis for many structures. It is vital that they be designed with the utmost reliability, because the cost of failure is potentially huge. Covering a whole range of design issues relating to pile design, this book presents economical and efficient design solutions and demonstrates them using real world examples. Coverage includes nonlinear response of single piles to vertical or torsional loading and to cyclic lateral loading, as well as prediction of nonlinear response of lateral pile groups, vertically loaded pile groups and the design of slope stabilising piles. Most solutions are provided as closed-form expressions. Theory and Practice of Pile Foundations is: illustrated with case studies accompanied by practical applications in Excel and MathCad the first book to incorporate nonlinear interaction into pile design. A valuable resource for students of geotechnical engineering taking courses in foundations and a vital tool for engineers designing pile foundations.

Proceedings of the Congress of the Indian Society of Theoretical and Applied Mechanics

( i ) On the foundations of the theory of non - homogeneous elasto - plastic bodics
I ( in Polish ) Arch Mechi Stos vol . 6 ( 1954 ) , No . 8 ; ( in English ) , Bull . Acad .
Pol . Sci . , 1955 , No 2 , 8 ; Plane problems of the theory of plastic flow of non ...

Author: Indian Society of Theoretical and Applied Mechanics. Congress



Category: Mechanics, Analytic


View: 825

Proceedings of the Congress on Theoretical and Applied Mechanics

On the foundations of the theory of non - homogeneous elasto - plastic bodics I (
in Polish ) Arch Mechi Stos vol . 6 ( 1954 ) , No . 8 ; ( in English ) , Bull . Acad . Pol
. Sci . , 1955 , No 2 , 8 ; Plane problems of the theory of plastic flow of non ...

Author: Indian Society of Theoretical and Applied Mechanics. Congress



Category: Mechanics


View: 640

Notes on the Foundations of the Theory of Small Displacements of Orthotropic Shells

The film viscosity of the early sample , the foamer , shows anomalous viscosity ,
which indicates the formation of a plastic film at the surface in 24 hours . The
defoamed sample , however , does not show such anomalous Viscosity after 24 ...

Author: F. B. Hildebrand



Category: Elastic plates and shells

Page: 59

View: 862

A new system of equations is derived for the analysis of shells, which includes the effects of transverse shear and normal stresses. The assumed orthotropy of the shell facilitates the identification of the separate effects of the ordinarily neglected transverse stresses.

Mathematical Theory of Elastic and Elasto Plastic Bodies

PREFACE The theory of elasticity represents a branch of applied mathematics
which, although now classical in one sense, ... At the same time, we have laid
foundations for the approximate variational methods which have recently
undergone ...

Author: J. Necas

Publisher: Elsevier

ISBN: 148329191X

Category: Science

Page: 343

View: 559

The book acquaints the reader with the basic concepts and relations of elasticity and plasticity, and also with the contemporary state of the theory, covering such aspects as the nonlinear models of elasto-plastic bodies and of large deflections of plates, unilateral boundary value problems, variational principles, the finite element method, and so on.

Reinforced Plastics Handbook

624 625 626 634 642 643 646 646 651 651 652 652 653 653 655 657 658 660
Formabilities Surface Stresses and Deformations Design Approaches Design
Foundations Theory of Elasticities and Materials Reinforced Plastic
Performances ...

Author: Donald V Rosato

Publisher: Elsevier

ISBN: 9781856174503

Category: Technology & Engineering

Page: 1082

View: 919

Introduction -- Reinforcements -- Plastics -- Compound constructions -- Fabricating processes -- Markets/Products -- Designs -- Engineering analysis -- Selecting plastic and process -- Summary -- Conversions.

Soils and Foundations

15 ) Kratochvil , J . ( 1971 ) : Finite - strain theory of crystalline elastic - plastic
materials , J ... 19 ) Oda , M . ( 1972 ) : Initial fabrics and their relations to
mechanical properties of granular material , Soils and Foundations , 12 ( 1 ) ,
1736 . 20 ) Oka ...




Category: Foundations


View: 440

A Course in Continuum Mechanics Elastic and plastic solids and the formation of cracks

Gurevich, G. B., Foundations of the Theory of Algebraic Invariants, Gostekhizdat,
Moscow, 1956, Noordhoff, Groningen, 1964. Gurevich, M.I., Theory of Jets in
Ideal Fluids, Fizmatgiz, Moscow, 1961; Academic Press, 1965. Hill, R., The ...

Author: Леонид Иванович Седов



Category: Continuum mechanics


View: 633

Soil Mechanics and Foundation Engineering

11 Lateral Earth Pressure CHAPTER HIGHLIGHTS Limit analysis and limit
equilibrium methods – Earth pressure at rest - Rankine's states of plastic
equilibrium - Rankine's earth pressure theory - Coulomb's earth pressure theory -
Culmann's ...

Author: P. Purushothama Raj

Publisher: Pearson Education India

ISBN: 9788131711774

Category: Electronic books

Page: 840

View: 682

Soil Mechanics & Foundation Engineering deals with its principles in an elegant, yet simplified, manner in this text. It presents all the material required for a firm background in the subject, reinforcing theoretical aspects with sound practical applications. The study of soil behaviour is made lucid through precise treatment of the factors that influence it.

The Mathematical Theory of Plasticity

First published in 1950, this important and classic book presents a mathematical theory of plastic materials, written by one of the leading exponents.

Author: Rodney Hill

Publisher: Oxford University Press

ISBN: 9780198503675

Category: Science

Page: 355

View: 508

First published in 1950, this important and classic book presents a mathematical theory of plastic materials, written by one of the leading exponents.

The Mechanical and Thermodynamical Theory of Plasticity

As a first step toward understanding plasticity, we will study plasticity in the
context of the one-dimensional theory of ... With this in mind, the one-dimensional
theory presented in this chapter is developed on the same theoretical
foundations that the multidimensional theory is based on. ... plastic. response.
Before we proceed to look at the theory of bars, let us take a look at plasticity.
Plasticity refers to a ...

Author: Mehrdad Negahban

Publisher: CRC Press

ISBN: 0849372305

Category: Science

Page: 784

View: 858

Born out of 15 years of courses and lectures on continuum mechanics, nonlinear mechanics, continuum thermodynamics, viscoelasticity, plasticity, crystal plasticity, and thermodynamic plasticity, The Mechanical and Thermodynamical Theory of Plasticity represents one of the most extensive and in-depth treatises on the mechanical and thermodynamical aspects of plastic and visicoplastic flow. Suitable for student readers and experts alike, it offers a clear and comprehensive presentation of multi-dimensional continuum thermodynamics to both aid in initial understanding and introduce and explore advanced topics. Covering a wide range of foundational subjects and presenting unique insights into the unification of disparate theories and practices, this book offers an extensive number of problems, figures, and examples to help the reader grasp the subject from many levels. Starting from one-dimensional axial motion in bars, the book builds a clear understanding of mechanics and continuum thermodynamics during plastic flow. This approach makes it accessible and applicable for a varied audience, including students and experts from engineering mechanics, mechanical engineering, civil engineering, and materials science.

Foundations of the Non linear Mechanics of Continua

the different models of plastic bodies are included in the laws for the
determination of any and Xs , and in relation to these , in properties of the loading
function f .

Author: Леонид Иванович Седов

Publisher: Pergamon


Category: Continuum mechanics

Page: 252

View: 125

A Short Course in Soil structure Engineering of Deep Foundations Excavations and Tunnels

CHAPTER FOURTEEN Plastic geo - structural analysis Source This chapter , '
Plastic geo - structural analysis ' , is a verbatim extract from ' Mechanisms of
ground deformation due to ... Overview In soil mechanics and foundation
engineering , engineers have been in the unhappy position of having no simple
but robust theoretical models for ground deformation - no equivalent to engineers
' beam theory .

Author: C. W. W. Ng

Publisher: Thomas Telford

ISBN: 9780727732637

Category: Technology & Engineering

Page: 408

View: 915

The book gives both student and practising civil engineers a useful review of the state-of-the-art of designing deep foundations, excavations and tunnels. In addition, the case studies and numerical modelling presented give valuable insights into the challenges of soil-structure engineering.

Foundations and Slopes

Plastic potential ob 0 o vide ? ( a ) Oo del de " Yield curve o de ? ( b ) Figure 1.17
Flow rule of plasticity theory . ( a ) Plastic potential . ( b ) Normality condition . (
From Atkinson and Bransby , 1978. ) rial . ling C. oly stress and strain correctly ...

Author: J. H. Atkinson

Publisher: John Wiley & Sons


Category: Foundations

Page: 382

View: 766

Advanced Electromagnetism Foundations Theory and Applications

In these measurements the armature was a traveling electric arc in air between
the rails. This explains the large voltage drop of 200 V across the armature. The
arc pushed against a plastic projectile and accelerated it for the first 0.9ms of Fig.

Author: Terence W Barrett

Publisher: World Scientific

ISBN: 9814501085

Category: Science

Page: 808

View: 482

Advanced Electromagnetism: Foundations, Theory and Applications treats what is conventionally called electromagnetism or Maxwell's theory within the context of gauge theory or Yang-Mills theory. A major theme of this book is that fields are not stand-alone entities but are defined by their boundary conditions. The book has practical relevance to efficient antenna design, the understanding of forces and stresses in high energy pulses, ring laser gyros, high speed computer logic elements, efficient transfer of power, parametric conversion, and many other devices and systems. Conventional electromagnetism is shown to be an underdeveloped, rather than a completely developed, field of endeavor, with major challenges in development still to be met. Contents:Foundations:Gauge Theories, and Beyond (R Aldrovandi)Helicity and Electromagnetic Field Topology (G E Marsh)Electromagnetic Gauge as Integration Condition: Einstein's Mass-Energy Equivalence Law and Action-Reaction Opposition (O C de Beauregard)The Symmetry Between Electricity and Magnetism and the Problem of the Existence of a Magnetic Monopole (G Lochak)Quantization as a Wave Effect (P Cornille)Twistors in Field Theory (J Frauendiener & S-T Tsou)Foundational Electrodynamics and Beltrami Vector Fields (D Reed)A Classical Field Theory Explanation of Photons (D M Grimes and C A Grimes)Sagnac Effect: A Consequence of Conservation of Action Due to Gauge Field Global Conformal Invariance in a Multiply-Joined Topology of Coherent Fields (T W Barrett)Gravitation as a Fourth Order Electromagnetic Effect (A K T Assis)Hertzian Invariant Forms of Electromagnetism (T E Phipps Jr)Theory:Pancharatnam's Phase in Polarization Optics (W Dultz & S Klein)Frequency-Dependent Dyadic Green Functions for Bianisotropic Media (W S Weiglhofer)Covariances and Invariances of the Maxwell Postulates (A Lakhtakia)Solitons and Chaos in Periodic Nonlinear Optical Media and Lasers (J-H Feng & F K Kneubühl)The Balance Equations of Energy and Momentum in Classical Electrodynamics (J L Jiménez & I Campos)Non-Abelian Stokes Theorem (B Broda)Extension of Ohm's Law to Electric and Magnetic Dipole Currents (H F Harmuth)Relativistic Implications in Electromagnetic Field Theory (M Sachs)Symmetries, Conservation Laws, and Maxwell's Equations (J Pohjanpelto)Applications:Six Experiments with Magnetic Charge (V F Mikhailov)Ampère Force: Experimental Tests (R Saumont)The Newtonian Electrodynamics and Its Experimental Foundation (P Graneau)Localized Waves and Limited Diffraction Beams (M R Palmer)Analytical and Numerical Methods for Evaluating Electromagnetic Field Integrals Associated with Current-Carrying Wire Antennas (D H Werner)Transmission and Reception of Power by Antennas (D M Grimes & C A Grimes) Readership: Physicists and electrical engineers. keywords:Electromagnetism;A Electromagnetic Fields;A Fields;A Potenials;A Vector Potentials;A Vector;Maxwell Theory;Extended Maxwell Theory;Gauge Fields;Non-Abelian Electromagnetics;Weber;Sagnac Effect;Yang-Mills;Ring Laser Gyro “… it is important to state that Barrett and Grimes have provided a excellent compendium of papers to support the paradigm shift that is occuring and must occur in physical science if we are to accelerate our understanding of the physical world.” Fusion Information Center, Inc.