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Table of Contents
1 Cover
4 Preface: Short Bibliographical Presentation of Prof. Isaac Elishakoff
5 1 Static Deformations of Fiber-Reinforced Composite Laminates by the Least-Squares Method 1.1. Introduction 1.2. Formulation of the problem 1.3. Results and discussion 1.4. Remarks 1.5. Conclusion 1.6. Acknowledgments 1.7. References
6 2 Stability of Laterally Compressed Elastic Chains 2.1. Introduction 2.2. Compression of stacked elastic sheets 2.3. Stability of an elastically coupled cyclic chain 2.4. Elastic stability of two coupled rods with disorder 2.5. Spatial localization of lateral buckling in a disordered chain of elastically coupled rigid rods 2.6. Conclusion 2.7. References
7 3 Analysis of a Beck’s Column over Fractional-Order Restraints via Extended Routh–Hurwitz Theorem 3.1. Introduction 3.2. Material hereditariness 3.3. Dynamic equilibrium of an elastic cantilever over a fractional-order foundation 3.4. Stability analysis of Beck’s column over fractional-order hereditary foundation 3.5. Numerical application 3.6. Conclusion 3.7. References
8 4 Localization in the Static Response of Higher-Order Lattices with Long-Range Interactions 4.1. Introduction 4.2. Two-neighbor interaction – general formulation – homogeneous solution 4.3. Two-neighbor interaction – localization in a weakened problem 4.4. Conclusion 4.5. References
9 5 New Analytic Solutions for Elastic Buckling of Isotropic Plates 5.1. Introduction 5.2. Equilibrium equation 5.3. Solution 5.4. Boundary condition 5.5. Numerical results 5.6. Conclusion 5.7. Appendix A: Deflection, slopes, bending moments and shears 5.8. Appendix B: Function transformation 5.9. References
10 6 Buckling and Post-Buckling of Parabolic Arches with Local Damage 6.1. Introduction 6.2. A one-dimensional model for arches 6.3. Parabolic arches 6.4. Crack models for one-dimensional elements 6.5. An application 6.6. Final remarks 6.7. Acknowledgments 6.8. References
11 7 Inelastic Microbuckling of Composites by Wave-Buckling Analogy 7.1. Introduction 7.2. Buckling-wave propagation analogy 7.3. Microbuckling in elastic orthotropic composites 7.4. Inelastic microbuckling 7.5. Results and discussion 7.6. References
12 8 Quasi-Bifurcation of Discrete Systems with Unstable Post-Critical Behavior under Impulsive Loads 8.1. Introduction 8.2. Case study of a two DOF system with unstable static behavior 8.3. Exploring the static and dynamic behavior of the two DOF system 8.4. The dynamic stability criterion due to Lee 8.5. New stability bounds following Lee’s approach 8.6. Conclusion 8.7. Acknowledgments 8.8. References
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