Ebook: Recent Advances in Mechanics: Selected Papers from the Symposium on Recent Advances in Mechanics, Academy of Athens, Athens, Greece, 17-19 September, 2009, Organised by the Pericles S. Theocaris Foundation in Honour of P.S. Theocaris, on the Tenth Anniver

This book contains 24 papers presented at the symposium on “Recent Advances in Mechanics” dedicated to the late Professor – Academician Pericles S. Theocaris in commemoration of the tenth anniversary of his death. The papers are written by world renowned and recognized experts in their fields and serve as a reference and guide for future research.

The topics covered in the book can be divided into three major themes:

· Mathematical methods in applied mechanics (nine papers)

· Experimental mechanics (nine papers)

· Fracture mechanics (six papers)

Topics covered include: Application of reciprocity relations to laser-based ultrasonics, boundary value problems of the theory of elasticity, optimal design in contact mechanics, scaling of strength and lifetime distributions of quasibrittle structures, directional distortional hardening in plasticity, vibration of systems, instability phenomena in damped systems, variational methods for static and dynamic elasticity problems, an accelerated Newmark scheme for solving the equations of motion in the time domain, photoelastic tomography, electronic speckle pattern interferometry, composites exposed to fire, sampling moiré, microelecromechanical systems, experimental mechanics in nano-scale, advanced cement based nanocomposites, piezonuclear transmutations in brittle rocks under mechanical loading, stress triaxiality at crack tips studied by caustics, reinforcement of a cracked elastic plate with defects, some actual problems of fracture mechanics, cyclic plasticity with applications to extremely low cycle fatigue of structural steel, and fracture of a highly filled polymer composite.

This book contains 24 papers presented at the symposium on “Recent Advances in Mechanics” dedicated to the late Professor – Academician Pericles S. Theocaris in commemoration of the tenth anniversary of his death. The papers are written by world renowned and recognized experts in their fields and serve as a reference and guide for future research.

The topics covered in the book can be divided into three major themes:

· Mathematical methods in applied mechanics (nine papers)

· Experimental mechanics (nine papers)

· Fracture mechanics (six papers)

Topics covered include: Application of reciprocity relations to laser-based ultrasonics, boundary value problems of the theory of elasticity, optimal design in contact mechanics, scaling of strength and lifetime distributions of quasibrittle structures, directional distortional hardening in plasticity, vibration of systems, instability phenomena in damped systems, variational methods for static and dynamic elasticity problems, an accelerated Newmark scheme for solving the equations of motion in the time domain, photoelastic tomography, electronic speckle pattern interferometry, composites exposed to fire, sampling moir?, microelecromechanical systems, experimental mechanics in nano-scale, advanced cement based nanocomposites, piezonuclear transmutations in brittle rocks under mechanical loading, stress triaxiality at crack tips studied by caustics, reinforcement of a cracked elastic plate with defects, some actual problems of fracture mechanics, cyclic plasticity with applications to extremely low cycle fatigue of structural steel, and fracture of a highly filled polymer composite.

This book contains 24 papers presented at the symposium on “Recent Advances in Mechanics” dedicated to the late Professor – Academician Pericles S. Theocaris in commemoration of the tenth anniversary of his death. The papers are written by world renowned and recognized experts in their fields and serve as a reference and guide for future research.

The topics covered in the book can be divided into three major themes:

· Mathematical methods in applied mechanics (nine papers)

· Experimental mechanics (nine papers)

· Fracture mechanics (six papers)

Topics covered include: Application of reciprocity relations to laser-based ultrasonics, boundary value problems of the theory of elasticity, optimal design in contact mechanics, scaling of strength and lifetime distributions of quasibrittle structures, directional distortional hardening in plasticity, vibration of systems, instability phenomena in damped systems, variational methods for static and dynamic elasticity problems, an accelerated Newmark scheme for solving the equations of motion in the time domain, photoelastic tomography, electronic speckle pattern interferometry, composites exposed to fire, sampling moir?, microelecromechanical systems, experimental mechanics in nano-scale, advanced cement based nanocomposites, piezonuclear transmutations in brittle rocks under mechanical loading, stress triaxiality at crack tips studied by caustics, reinforcement of a cracked elastic plate with defects, some actual problems of fracture mechanics, cyclic plasticity with applications to extremely low cycle fatigue of structural steel, and fracture of a highly filled polymer composite.

Content:
Front Matter....Pages -
Front Matter....Pages 1-1
Application of Reciprocity Relations to Laser-Based Ultrasonics....Pages 3-8
An Asymptotic Method of Boundary-Value Problems Solution of Elasticity Theory for Thin Bodies....Pages 9-26
Reliable Optimal Design in Contact Mechanics....Pages 27-42
Scaling of Strength and Lifetime Distributions of Quasibrittle Structures....Pages 43-59
Directional Distortional Hardening in Plasticity within Thermodynamics....Pages 61-78
Forced Vibrations of the System: Structure – Viscoelastic Layer....Pages 79-89
Extreme Instability Phenomena in Autonomous Weakly Damped Systems: Hopf Bifurcations, Double Pure Imaginary Eigenvalues, Load Discontinuity....Pages 91-130
Variational Approach to Static and Dynamic Elasticity Problems....Pages 131-158
An Accelerated Newmark Scheme for Integrating the Equation of Motion of Nonlinear Systems Comprising Restoring Elements Governed by Fractional Derivatives....Pages 159-177
Front Matter....Pages 179-179
Photoelastic Tomography as Hybrid Mechanics....Pages 181-190
Using an Electronic Speckle Interferometry for Measurement of a Stress-Deformation State of Elastic Bodies and Structures....Pages 191-206
Structural Integrity and Residual Strength of Composites Exposed to Fire....Pages 207-226
Theory and Application of Sampling Moir? Method....Pages 227-248
Recent Advances in Microelectromechanical Systems and Their Applications for Future Challenges....Pages 249-273
Experimental Mechanics in Nano-engineering....Pages 275-312
Advanced Cement Based Nanocomposites....Pages 313-327
Application of Digital Speckle Pattern Interferometry (DSPI) in Determination of Elastic Modulus Using Plate Vibration....Pages 329-341
The Development and Applications of Amplitude Fluctuation Electronic Speckle Pattern Interferometry Method....Pages 343-358
Front Matter....Pages 359-359
Piezonuclear Transmutations in Brittle Rocks under Mechanical Loading: Microchemical Analysis and Geological Confirmations....Pages 361-382
Stress Triaxiality at Crack Tips Studied by Caustics....Pages 383-396
Front Matter....Pages 359-359
Reinforcement of a Cracked Infinite Elastic Plate with Defects....Pages 397-411
Some Actual Problems of Fracture Mechanics of Materials and Structures....Pages 413-435
Cyclic Plasticity with an Application to Extremly Low Cycle Fatigue of Structural Steel....Pages 437-446
The Fracture Toughness of a Highly Filled Polymer Composite....Pages 447-459
Back Matter....Pages -

This book contains 24 papers presented at the symposium on “Recent Advances in Mechanics” dedicated to the late Professor – Academician Pericles S. Theocaris in commemoration of the tenth anniversary of his death. The papers are written by world renowned and recognized experts in their fields and serve as a reference and guide for future research.

The topics covered in the book can be divided into three major themes:

· Mathematical methods in applied mechanics (nine papers)

· Experimental mechanics (nine papers)

· Fracture mechanics (six papers)

Topics covered include: Application of reciprocity relations to laser-based ultrasonics, boundary value problems of the theory of elasticity, optimal design in contact mechanics, scaling of strength and lifetime distributions of quasibrittle structures, directional distortional hardening in plasticity, vibration of systems, instability phenomena in damped systems, variational methods for static and dynamic elasticity problems, an accelerated Newmark scheme for solving the equations of motion in the time domain, photoelastic tomography, electronic speckle pattern interferometry, composites exposed to fire, sampling moir?, microelecromechanical systems, experimental mechanics in nano-scale, advanced cement based nanocomposites, piezonuclear transmutations in brittle rocks under mechanical loading, stress triaxiality at crack tips studied by caustics, reinforcement of a cracked elastic plate with defects, some actual problems of fracture mechanics, cyclic plasticity with applications to extremely low cycle fatigue of structural steel, and fracture of a highly filled polymer composite.

Content:
Front Matter....Pages -
Front Matter....Pages 1-1
Application of Reciprocity Relations to Laser-Based Ultrasonics....Pages 3-8
An Asymptotic Method of Boundary-Value Problems Solution of Elasticity Theory for Thin Bodies....Pages 9-26
Reliable Optimal Design in Contact Mechanics....Pages 27-42
Scaling of Strength and Lifetime Distributions of Quasibrittle Structures....Pages 43-59
Directional Distortional Hardening in Plasticity within Thermodynamics....Pages 61-78
Forced Vibrations of the System: Structure – Viscoelastic Layer....Pages 79-89
Extreme Instability Phenomena in Autonomous Weakly Damped Systems: Hopf Bifurcations, Double Pure Imaginary Eigenvalues, Load Discontinuity....Pages 91-130
Variational Approach to Static and Dynamic Elasticity Problems....Pages 131-158
An Accelerated Newmark Scheme for Integrating the Equation of Motion of Nonlinear Systems Comprising Restoring Elements Governed by Fractional Derivatives....Pages 159-177
Front Matter....Pages 179-179
Photoelastic Tomography as Hybrid Mechanics....Pages 181-190
Using an Electronic Speckle Interferometry for Measurement of a Stress-Deformation State of Elastic Bodies and Structures....Pages 191-206
Structural Integrity and Residual Strength of Composites Exposed to Fire....Pages 207-226
Theory and Application of Sampling Moir? Method....Pages 227-248
Recent Advances in Microelectromechanical Systems and Their Applications for Future Challenges....Pages 249-273
Experimental Mechanics in Nano-engineering....Pages 275-312
Advanced Cement Based Nanocomposites....Pages 313-327
Application of Digital Speckle Pattern Interferometry (DSPI) in Determination of Elastic Modulus Using Plate Vibration....Pages 329-341
The Development and Applications of Amplitude Fluctuation Electronic Speckle Pattern Interferometry Method....Pages 343-358
Front Matter....Pages 359-359
Piezonuclear Transmutations in Brittle Rocks under Mechanical Loading: Microchemical Analysis and Geological Confirmations....Pages 361-382
Stress Triaxiality at Crack Tips Studied by Caustics....Pages 383-396
Front Matter....Pages 359-359
Reinforcement of a Cracked Infinite Elastic Plate with Defects....Pages 397-411
Some Actual Problems of Fracture Mechanics of Materials and Structures....Pages 413-435
Cyclic Plasticity with an Application to Extremly Low Cycle Fatigue of Structural Steel....Pages 437-446
The Fracture Toughness of a Highly Filled Polymer Composite....Pages 447-459
Back Matter....Pages -
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