Kounadis A.N., Gdoutos E.E. (Eds.) Recent Advances in Mechanics
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XX Biography
time-temperature superposition principle, valid for the mechanical properties of
high polymers, to their optical properties and introduced important laws in this area
of knowledge.
(4) The optical method of caustics is an exclusive field of his research. He
published two hundred twenty five papers in this area.
(5) Solutions to integral equations with singularities. He has contributed
one hundred fourteen papers. He progressed the state-of-the-art from the theoretical
point of view, but mainly from the numerical and applications-point of view.
(6) The theory of fracture takes up a large part of his research time.
Eighty-nine papers were published all over the world in this field. Theoretical and
experimental studies in this domain concern the static and dynamic behavior of frac-
ture bodies. A main contribution in this field is the introduction of a new fracture
criterion, the T-criterion which, for the first time, takes into account, in a rational
way from the point of view of physical properties of the materials, the contribution
of the distortions and dilatational components of energy for initiation of fracture.
(7) Dynamic and impact phenomena have also been studied by Professor
P.S. Theocaris in sixty papers mainly related to this subject.
(8) Ninety-three papers deal with modern composite materials, fiber-
reinforced and particulates. New viscoelastic theories and models were introduced,
especially the models taking into consideration the interphase between main
phases of the composite. The theories developed in this field and especially the
interphase model made his contributions well-known throughout the world. A book
published by Springer-Verlag was devoted to this subject.
(9) A new failure criterion based on the theory of Failure Tensor Poly-
nomials was introduced and developed by P.S. Theocaris. This takes into con-
sideration in a rational way the contribution of all components of strain energy
density of the materials and is convenient for any type of material, even the
most anisotropic. This criterion is based on principles of the components of the
strain energy and was applied to different orthotropic materials, transversely iso-
tropic, foamy materials, as well as porous and microstructures. Forty papers dealing
with applications of this criterion were published.
Books
1. “Moiré Fringes in Strain Analysis.” This is the first book dealing exclusively
with applications of moiré fringes in the metrology of deformations, Pergamon
Press, London, 426 pages, 1969.
2. “Miarovsie Polos pri Isledovanii Defonnatii.” The previous book was trans-
lated into Russian by Prof. B.N. Uchachov of the Polytechnic University of
Moscow and published by MIR Publishing Co. of Moscow, 1971.
3. “Experimental Mechanics of Materials,” Technical University Press, 580
pages. 1970 (in Greek).
4. “Experimental Stress Analysis,” Technical University Press, 430 pages, 1974
(in Greek).
5. “Moiré Fringes in Strain Analysis,” Technical University Press, 447 pages,
1974, Translation into Greek of book No. 1.
Biography XXI
6. “Matrix Theory in Photoelasticity,” Springer-Verlag Series in Optical Sciences,
Vol. 11, Springer-Verlag, 1979 (with Professor E.E. Gdoutos)
7. “Mixed Mode Crack Propagation” Edited by G. Sih and P.S. Theocaris, Sijthoff
& Noordhoff, Holland, 1981.
8. “Compedium in Astronomy,” Edited by E. Mariolopoulos, P.S. Theocaris and L.
Mavridis, D. Reidel Publishing Co., Holland, 1982.
9. “Interrelation Between Processing, Structure and Properties of Polymeric
Materials,” IUPAC International Symposium, Athens 1982, J. Seferis and P.S.
Theocaris, Editors, Elsevier, Netherlands, 1984.
10. “The Concept of Mesophase in Composites,” Springer-Verlag, 1985.
Monographs
“Experimental Study of the Stability of Parthenon”, Transactions of the National
Academy of Athens, Vol. 44, No.4, p.116, 1979 (with E. Koroneos).
Book Chapters
1 “Studiul Cimpurilor de Tensiuni Singulare Ci Ajutorul Causticelor.” (La Me-
thode des Caustiques a L'etude de Champs des Contraintes Singuliers). Chap-
ter VI in Handbook on Applications of Stress Methods (Book in Romanian,
Professor D.R. Mocanu, Editor) 1977.
2 “Methods Kaustik-Nova Doswiadczaina Badania Osobliwosci Pola
Naprazenia,” Review paper about caustics in Polish published by the Polish
Academy.
3 “Stresses in Three-Dimensional Composites with Limiting Shear Properties,”
Development in Composite Materials, Chapter 9, G.S. Holister Editor, Ap-
plied Science Publishers, England, 1977.
4 “Modern Methods in Polarization Optics,” Developments in Stress Analysis
1, Chapter 3, G.S. Holister Editor, Applied Science Publishers, England,
1979.
5 “The Method of Caustics Applied to Elasticity Problems,” Developments in
Stress Analysis 1, Chapter 2, G.S. Holister, Editor, Applied Science Publish-
ers, England, 1979.
6 “Elastic Stress Intensity Factors Evaluated by Caustics: Experimental Deter-
mination of Crack-Tip Stress Intensity Factors,” Mechanics of Fracture. Vol.
VII, G. Sih, Editor, 1980.
7 “The Interphase and its Influence on the Mechanical Properties of Composites,”
“New Developments in the Characterization of Polymers in the Solid
State - Advances in Polymer Science,” H.H. Kausch and H.G. Zachmann Edi-
tors, Springer Publ., Germany, 1984.
8 “Crack Propagation Modes in Composites: The Influence of Mesophase,”
Handbook of Advanced Materials Testing, Vol. II., Chapter 26, N.P.
Cheremisinoff, Editor, M. Dekker, Publ., N. Jersey, U.S.A., 1994.
XXII Biography
9 “Failure Criteria for Anisotropic Bodies,” Handbook of Fatigue Crack Propagation
in Metallic Structures, Vol. 1, Chapter 1, A. Carpinteri, Editor, Elsevier Publ.
Amsterdam, 1994.
10 “New Methods in Studying Fracture and Failure Mechanics,” A.A. Griffith's
Memorial Volume, C. Cherepanov Editor, Krieger Publ., U.S.A., 1996.
Participation in Societies and Congresses
Professor P.S. Theocaris was a member of the following Societies:
Society for Experimental Stress Analysis (U.S.A., from 1954, Fellow from 1987),
Groupement pour l’ Avancement des Methodes d' Analyse des Contraintes
(France, from 1954), Societe Royale Belge des Ingenieurs et des Industriels
(Belgium, from 1954), American Society of Mechanical Engineers (from 1955),
Society of the Sigma-Xi (U.S.A., from 1958), International Association for
Bridges and Structural Engineering (Switzerland, from 1962), Delegate for
Greece at the Reunion Internationale des Laboratoires d' Essais des Materiaux
(from 1961), Optical Society of America (from 1971), and American Association
for the Advancement of Science.
He participated in many international and national congresses of Mechanics,
Experimental Mechanics, Fracture Mechanics, Rheology, Optics, Composite Ma-
terials, etc. with paper presentations in the U.S.A., France, England, Switzerland,
Germany, Italy, Poland, Romania, Russia and Japan.
Contents
Part I: Mathematical Methods in Applied Mechanics
Application of Reciprocity Relations to Laser-Based
Ultrasonics .................................................. 3
Jan D. Achenbach
An Asymptotic Method of Boundary-Value Problems
Solution of Elasticity Theory for Thin Bodies ................ 9
Lenser A. Aghalovyan
Reliable Optimal Design in Contact Mechanics .............. 27
Nickolay V. Banichuk, Svetlana Yu. Ivanova, Evgeniy V. Makeev
Scaling of Strength and Lifetime Distributions of
Quasibrittle Structures ...................................... 43
Zdenˇek P. Baˇzant, Jia-Liang Le
Directional Distortional Hardening in Plasticity within
Thermodynamics ............................................ 61
Yannis F. Dafalias, Heidi P. Feigenbaum
Forced Vibrations of the System: Structure – Viscoelastic
Layer ........................................................ 79
Boris V. Gusev, Alexander S. Faivusovich
Extreme Instability Phenomena in Autonomous Weakly
Damped Systems: Hopf Bifurcations, Double Pure
Imaginary Eigenvalues, Load Discontinuity .................. 91
Anthony N. Kounadis
XXIV Contents
Variational Approach to Static and Dynamic Elasticity
Problems .................................................... 131
Georgy V. Kostin, Vasily V. Saurin
An Accelerated Newmark Scheme for Integrating the
Equation of Motion of Nonlinear Systems Comprising
Restoring Elements Governed by Fractional Derivatives ..... 159
Georgios I. Evangelatos, Pol D. Spanos
Part II: Experimental Mechanics
Photoelastic Tomography as Hybrid Mechanics .............. 181
H. Aben, L. Ainola, A. Errapart
Using an Electronic Speckle Interferometry for
Measurement of a Stress-Deformation State of Elastic
Bodies and Structures ....................................... 191
Robert V. Goldstein, Viktor M. Kozintsev, Aleksandr L. Popov
Structural Integrity and Residual Strength of Composites
Exposed to Fire ............................................. 207
George A. Kardomateas
Theory and Application of Sampling Moir´eMethod ......... 227
Yoshiharu Morimoto, Motoharu Fujigaki
Recent Advances in Microelectromechanical Systems and
Their Applications for Future Challenges .................... 249
Ryszard J. Pryputniewicz
Experimental Mechanics in Nano-engineering ................ 275
Cesar A. Sciammarella, Federico M. Sciammarella,
Luciano Lamberti
Advanced Cement Based Nano composites ................... 313
S.P. Shah, M.S. Konsta-Gdoutos, Z.S. Metaxa
Application of Digital Speckle Pattern Interferometry
(DSPI) in Determination of Elastic Modulus Using Plate
Vibration .................................................... 329
Chandra Shakher, Rajesh Kumar
The Development and Applications of Amplitude
Fluctuation Electronic Speckle Pattern Interferometry
Metho d ...................................................... 343
Wei-Chung Wang, Chi-Hung Hwang
Contents XXV
Part III: Fracture Mechanics
Piezonuclear Transmutations in Brittle Rocks under
Mechanical Loading: Microchemical Analysis and
Geological Confirmations .................................... 361
A. Carpinteri, G. Lacidogna, A. Manuello, O. Borla
Stress Triaxiality at Crack Tips Studied by Caustics ......... 383
Emmanuel E. Gdoutos
Reinforcement of a Cracked Infinite Elastic Plate with
Defects ...................................................... 397
S.M. Mkhitaryan, D.I. Bardzokas
Some Actual Problems of Fracture Mechanics of Materials
and Structures ............................................... 413
Volodymyr Panasyuk, Ihor Dmytrakh
Cyclic Plasticity with an Application to Extremly Low
Cycle Fatigue of Structural Steel ............................ 437
Dragoslav
ˇ
Sumarac, Zoran Petraˇskovi´c
The Fracture Toughness of a Highly Filled Polymer
Composite ................................................... 447
O.A. Stapountzi, M.N. Charalambides, J.G. Williams
Author Index ................................................ 461
Contributors
H. Aben,
Institute of Cybernetics,
Tallinn University of Technology,
21 Akadeemia tee,
12618 Tallinn,
Estonia
J.D. Achenbach,
Department of Mechanical
Engineering, Northwestern
University,
Evanston, IL 60208, USA
L.A. Aghalovyan,
Institute of Mechanics of
National Academy of
Sciences of Armenia,
Armenia
L. Ainola,
Institute of Cybernetics,
Tallinn University of Technology,
21 Akadeemia tee,
12618 Tallinn, Estonia
N.V. Banichuk,
A. Yu. Ishlinsky Institute for
Problems in Mechanics,
Russian Academy of Sciences,
Moscow, Russia
D.I. Bardzokas,
National Technical University of
Athens, School of Applied
Mathematical and Physical Sciences,
Department of Mechanics, Athens
Greece
Z.P. Bažant,
Department of Civil and Environmental
Engineering, Northwestern University,
Evanston, IL 60208, USA
O. Borla,
Politecnico di Torino, Department of
Structural Engineering & Geotechnics,
Corso Duca degli Abruzzi 24 – 10129
Torino, Italy, and Istituto Nazionale di
Fisica Nucleare, INFN sez. Torino, Via
Pietro Giuria 1 – 10125 Torino, Italy
A. Carpinteri,
Politecnico di Torino, Department of
Structural Engineering & Geotechnics,
Corso Duca degli Abruzzi 24 – 10129
Torino, Italy
M.N. Charalambides,
Mechanical Engineering Department,
Imperial College, London, UK
Y.F. Dafalias,
Department of Mechanics,
Faculty of Applied Mathematical and
Physical Science, National Technical,
University of Athens, Zographou,
Hellas, and Department of Civil and
Environmental Engineering, University
of California, Davis CA, USA
I. Dmytrakh,
Karpenko Physico-Mechanical Institute
of National Academy of Sciences of
Ukraine, 5 Naukova Street, 79601,
Lviv, Ukraine
XXVIII Contributors
A. Errapart,
Institute of Cybernetics, Tallinn
University of Technology,
21 Akadeemia tee, 12618 Tallinn,
Estonia
G.I. Evangelatos,
Rice University, Department of Civil
Engineering, Houston, Texas, USA
A.S. Faivusovich,
Lugansk National Agrarian University
91008, Lugansk, Ukraine
H.P. Feigenbaum,
Department of Mechanical Engineering,
Northern Arizona University,
Flagstaff AZ, USA
M. Fujigaki,
Department of Opto-Mechatronics,
Faculty of Systems Engineering,
Wakayama University, 930 Sakaedani,
Wakayama 640-8510, Japan
E.E. Gdoutos,
Office of Theoretical and Applied
Mechanics of the Academy of Athens,
School of Engineering, Democritus
University of Thrace,
GR-671 00 Xanthi, Greece
R.V. Goldstein,
A.Yu.Ishlinsky Institute for
Problems in Mechanics, the Russian
Academy of Sciences, 119526,
Vernadskogo 101, Moscow, Russia
B.V. Gusev,
Moscow State University of Railway
Engineering (MIIT) 125009, Moscow,
Russia
C.-H. Hwang,
Instrument Technology Research Center,
National Applied Research Laboratories,
Taiwan, Republic of China
S. Yu. Ivanova,
A. Yu. Ishlinsky Institute for Problems
in Mechanics, Russian Academy of
Sciences, Moscow, Russia
G.A. Kardomateas,
School of Aerospace Engineering,
Georgia Institute of Technology,
Atlanta, Georgia 30332-0150, USA
M.S. Konsta-Gdoutos,
School of Engineering,
Democritus University of Thrace,
GR-67100, Xanthi, Greece
G.V. Kostin,
Institute for Problems in Mechanics of
the Russian Academy of Sciences,
pr. Vernadskogo, 101-1,
119526 Moscow, Russia
A.N. Kounadis,
Academy of Athens, Soranou Efessiou
4, GR-115 27 Athens, Greece
V.M. Kozintsev,
A.Yu.Ishlinsky Institute for Problems in
Mechanics, the Russian Academy of
Sciences, 119526, Vernadskogo 101,
Moscow, Russia
R. Kumar,
Department of Mechanical Engineering,
Sant Longowal Institute of Engineering
and Technology, Longowal – 148 106
(Punjab), India
G. Lacidogna,
Politecnico di Torino, Department of
Structural Engineering & Geotechnics,
Corso Duca degli Abruzzi 24 – 10129
Torino, Italy
L. Lamberti,
Dipartimento di Ingegneria Meccanica
e Gestionale, Politecnico di Bari, Bari,
Italy
Contributors XXIX
J.-L. Le,
Department of Civil and
Environmental Engineering,
Northwestern University,
Evanston, IL 60208, USA
E.V. Makeev,
A. Yu. Ishlinsky Institute for Problems
in Mechanics, Russian Academy of
Sciences, Moscow, Russia
A. Manuello,
Politecnico di Torino, Department of
Structural Engineering & Geotechnics,
Corso Duca degli Abruzzi 24 – 10129
Torino, Italy
Z.S. Metaxa,
School of Engineering, Democritus
University of Thrace, GR-67100,
Xanthi, Greece
S.M. Mkhitaryan,
Institute of Mechanics of NAS RA,
Yerevan, Armenia
Y. Morimoto,
Moire Institute Inc., 2-1-4-804,
Hagurazaki, Izumisano,
Osaka 598-0046, Japan
V. Panasyuk,
Karpenko Physico-Mechanical
Institute of National Academy of
Sciences of Ukraine, 5 Naukova
Street, 79601, Lviv, Ukraine
Z. Petraškoviü,
Research-productive Centre System
DC 90, 11000 Belgrade, Serbia
A.L. Popov,
A.Yu. Ishlinsky Institute for
Problems in Mechanics, the Russian
Academy of Sciences,
119526, Vernadskogo 101,
Moscow, Russia
R.J. Pryputniewicz,
NEST – NanoEngineering,
Science, and Technology,
CHSLT – Center for Holographic
Studies and Laser Micro-Mechatronics,
Mechanical Engineering Department
Professor of Electrical and
Computer Engineering,
Worcester Polytechnic Institute,
Worcester, MA 01609, USA
V.V. Saurin,
Institute for Problems in
Mechanics of the Russian
Academy of Sciences,
pr. Vernadskogo, 101-1, 119526
Moscow, Russia
C.A. Sciammarella,
College of Engineering &
Engineering Technology, Northern
Illinois University, DeKalb, USA
F.M. Sciammarella,
College of Engineering &
Engineering Technology, Northern
Illinois University, DeKalb, USA
S.P. Shah,
ACBM Center, Northwestern
University, 2145 Sheridan Road,
Suite A130, Evanston,
IL 60208, USA
Ch. Shakher,
Laser Applications and Holography
Laboratory, Instrument Design
Development Centre,
Indian Institute of Technology,
Delhi, New Delhi – 110 016,
India
Pol D. Spanos,
Rice University, Department of
Mechanical Engineering and
Materials Science, Houston, Texas,
USA