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  1. Constant stress can dramatically reduce the ultimate cyclic stress, which can resist a material.

    Article • Eng—Advances in Engineering, June 2023, MDPI AG

    Vladimir Kobelev

  2. Exact shell solutions for conical springs. III. Belleville springs with variable thickness

    Article • Multidiscipline Modeling in Materials and Structures, June 2023, Emerald

    Vladimir Kobelev

  3. Effects of Mean Stress and Multiaxial Loading on Fatigue Life of Springs

    Article • April 2023, MDPI AG

    Vladimir Kobelev

  4. Exact shell solutions for conical springs. II. Radial cylindric curb

    Article • Mechanics Based Design of Structures and Machines, April 2023, Taylor & Francis

    Vladimir Kobelev

  5. Closed Form Solution in the Buckling Optimization Problem of Twisted Shafts

    Article • Applied Mechanics, February 2023, MDPI AG

    Vladimir Kobelev

  6. Stability optimization for a simultaneously twisted and compressed rod

    Article • Multidiscipline Modeling in Materials and Structures, February 2022, Emerald

    Vladimir Kobelev

  7. Advanced manufacturing of automotive bodies from tailored rolled blanks with the variable thickness

    Article • Structural and Multidisciplinary Optimization, January 2022, Springer Science + Business Media

    Vladimir Kobelev

  8. Closed-form solution for optimization of buckling column

    Article • Mechanics Based Design of Structures and Machines, December 2021, Taylor & Francis

    Vladimir Kobelev

  9. Optimization of concurrently compressed and torqued rod

    Article • November 2021, Research Square

    Vladimir Kobelev

  10. Closed form solution in buckling optimization problem of twisted rod

    Article • September 2021, Research Square

    Vladimir Kobelev

  11. Principles of design optimization for springs

    Article • August 2021, Research Square

    Vladimir Kobelev

  12. Closed-form solution for column buckling optimization

    Article • August 2021, Research Square

    Vladimir Kobelev

  13. Scale‐deviating operators of Riesz type and the spaces of variable dimensions

    Article • Computational and Mathematical Methods, June 2021, Hindawi Publishing Corporation

    Vladimir Kobelev

  14. The design principles for optimal springs

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  15. Coiling of Helical Springs

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  16. Creep and Relaxation of Springs

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  17. Disk Springs

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  18. Durability of Springs

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  19. Factors Affecting the Fatigue Life of Springs

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  20. Failure Analysis Based on Weakest Link Concept

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  21. Fatigue of Spring Materials

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  22. Presetting and Residual Stresses in Springs

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  23. Statistical Effects on Fatigue of Spring Materials

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  24. Stress Distributions Over Cross-Section of Wires

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  25. Thin-Walled Rods with Semi-opened Profiles

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  26. “Equivalent Columns” for Helical Springs

    Article • January 2021, Springer Science + Business Media

    Vladimir Kobelev

  27. Comment on “Minimization of maximum failure criterion of laminated composite shell structure by optimizing distributed-material orientation” by Shimoda M., Muramatsu Y., Tsukihara R.

    Article • Structural and Multidisciplinary Optimization, February 2020, Springer Science + Business Media

    Vladimir Kobelev

  28. Elastic–plastic deformation and residual stresses in helical springs

    Article • Multidiscipline Modeling in Materials and Structures, November 2019, Emerald

    Vladimir Kobelev

  29. Delayed presetting of helical springs

    Article • Mechanics Based Design of Structures and Machines, September 2019, Taylor & Francis

    Vladimir Kobelev

  30. Non‐Leibniz Hamiltonian and Lagrangian formalisms for certain class of dissipative systems

    Article • Computational and Mathematical Methods, April 2019, Hindawi Publishing Corporation

    Vladimir Kobelev

  31. A design reference for engineers developing composite components

    Article • April 2019, Wiley

    Vladimir Kobelev

  32. Design and Analysis of Composite Structures for Automotive Applications

    Article • April 2019, Wiley

    Vladimir Kobelev

  33. Basic mechanical properties of composites

    Article • April 2019, Wiley

    Vladimir Kobelev

  34. Appendix B Anisotropic Elasticity

    Article • April 2019, Wiley

    Vladimir Kobelev

  35. Appendix C Integral Transforms in Elasticity

    Article • April 2019, Wiley

    Vladimir Kobelev

  36. Composite Leaf Springs

    Article • April 2019, Wiley

    Vladimir Kobelev

  37. Design and Optimization of Composite Springs

    Article • April 2019, Wiley

    Vladimir Kobelev

  38. Dynamics of a Vehicle With Flexible, Anisotropic Structural Elements of Chassis

    Article • April 2019, Wiley

    Vladimir Kobelev

  39. Dynamics of a Vehicle with Rigid Structural Elements of Chassis

    Article • April 2019, Wiley

    Vladimir Kobelev

  40. Elastic Anisotropic Behavior of Composite Materials

    Article • April 2019, Wiley

    Vladimir Kobelev

  41. Equivalent Beams of Helical Anisotropic Springs

    Article • April 2019, Wiley

    Vladimir Kobelev

  42. Hereditary Mechanics of Composite Springs and Driveshafts

    Article • April 2019, Wiley

    Vladimir Kobelev

  43. Index

    Article • April 2019, Wiley

    Vladimir Kobelev

  44. Meander-Shaped Springs

    Article • April 2019, Wiley

    Vladimir Kobelev

  45. Micromechanical Failure Criteria of Composites

    Article • April 2019, Wiley

    Vladimir Kobelev

  46. Optimization Principles for Structural Elements Made of Composites

    Article • April 2019, Wiley

    Vladimir Kobelev

  47. Optimization of Composite Driveshaft

    Article • April 2019, Wiley

    Vladimir Kobelev

  48. Phenomenological Failure Criteria of Composites

    Article • April 2019, Wiley

    Vladimir Kobelev

  49. Approximate static aeroelastic analysis of composite wings

    Article • Multidiscipline Modeling in Materials and Structures, February 2019, Emerald

    Vladimir Kobelev

  50. Mechanics with non‐Leibniz derivatives

    Article • PAMM, December 2018, Wiley

    Vladimir Kobelev

  51. An advanced treatise of the complete discipline of spring design and manufacturing

    Article • January 2018, Springer Science + Business Media

    Vladimir Kobelev

  52. Unification proposals for fatigue crack propagation laws

    Article • Multidiscipline Modeling in Materials and Structures, August 2017, Emerald

    Vladimir Kobelev

  53. Fatigue of Spring Materials

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  54. Principles of Spring Design

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  55. “Equivalent Columns” for Helical Springs

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  56. Stress Distributions Over Cross-Section of Wires

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  57. Coiling Process for Helical Springs

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  58. Thin-Walled Rods with Semi-Opened Profiles

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  59. Disk Springs

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  60. Failure Probability of Helical Spring

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  61. Creep and Relaxation of Springs

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  62. Generalizations of Creep Laws for Spring Materials

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  63. Semi-Opened Profiles for Twist-Beam Automotive Axles

    Article • August 2017, Springer Science + Business Media

    Vladimir Kobelev

  64. A proposal for unification of fatigue crack growth law

    Article • Journal of Physics Conference Series, May 2017, Institute of Physics Publishing

    Vladimir Kobelev

  65. Optimization of load-transfer and load-diffusion

    Article • Structural and Multidisciplinary Optimization, January 2017, Springer Science + Business Media

    Vladimir Kobelev

  66. Weakest link concept for springs fatigue

    Article • Mechanics Based Design of Structures and Machines, December 2016, Taylor & Francis

    Vladimir Kobelev

  67. Addendum to “relaxation and creep in twist and flexure”

    Article • Multidiscipline Modeling in Materials and Structures, October 2016, Emerald

    Vladimir Kobelev

  68. Lattice of infinite bending-resistant fibers

    Article • Multidiscipline Modeling in Materials and Structures, August 2016, Emerald

    Vladimir Kobelev

  69. How to build the strongest pressure vessel from composite material (carbon or glass)

    Article • Structural and Multidisciplinary Optimization, May 2016, Springer Science + Business Media

    Vladimir Kobelev

  70. The lightest pressure vessel

    Article • Meccanica, April 2016, Springer Science + Business Media

    Vladimir Kobelev

  71. Some exact analytical solutions in structural optimization

    Article • Mechanics Based Design of Structures and Machines, February 2016, Taylor & Francis

    Vladimir Kobelev

  72. Isoperimetric inequality in the periodic Greenhill Problem of twisted elastic rod

    Article • Structural and Multidisciplinary Optimization, February 2016, Springer Science + Business Media

    Vladimir Kobelev

  73. The extreme property of twisted spherical shell

    Article • Structural and Multidisciplinary Optimization, September 2015, Springer Science + Business Media

    Vladimir Kobelev

  74. Exact shell solutions for conical springs

    Article • Mechanics Based Design of Structures and Machines, July 2015, Taylor & Francis

    Vladimir Kobelev

  75. Topological derivatives for fundamental frequencies of elastic bodies

    Article • Engineering Optimization, January 2015, Taylor & Francis

    Vladimir Kobelev

  76. Effect of static axial compression on the natural frequencies of helical springs

    Article • Multidiscipline Modeling in Materials and Structures, October 2014, Emerald

    Vladimir Kobelev

  77. Relaxation and creep in twist and flexure

    Article • Multidiscipline Modeling in Materials and Structures, October 2014, Emerald

    Vladimir Kobelev

  78. Some basic solutions for nonlinear creep

    Article • International Journal of Solids and Structures, October 2014, Elsevier

    Vladimir Kobelev

  79. Topological derivatives for fundamental frequencies of elastic bodies

    Article • September 2014, Taylor & Francis

    Vladimir Kobelev

  80. PARETO and NASH fronts as the limit case of the isoperimetric inequality in multiobjective optimization theory

    Article • September 2014, Taylor & Francis

    Vladimir Kobelev

  81. Comment to the Article “Several Examples of Application of Nash and Pareto Approaches to Multiobjective Structural Optimization with Uncertainties” of N. V. Banichuk, F. Ragnedda, M. Serra

    Article • Mechanics Based Design of Structures and Machines, December 2013, Taylor & Francis

    Vladimir Kobelev

  82. Thin-Walled Rods With Semiopened Profiles

    Article • Journal of Applied Mechanics, October 2012, ASME International

    Vladimir Kobelev

  83. Confirmation of Lagrange hypothesis for twisted elastic rod

    Article • Structural and Multidisciplinary Optimization, February 2012, Springer Science + Business Media

    Vladimir Kobelev

  84. Thin-walled rods with semi-open profile for semi-solid automotive suspension

    Article • International Journal of Automotive Technology, January 2012, Springer Science + Business Media

    Vladimir Kobelev

  85. On the Lagrangian and instability of medium with defects

    Article • Meccanica, November 2011, Springer Science + Business Media

    Vladimir Kobelev

  86. Elastoplastic Stress Analysis and Residual Stresses in Cylindrical Bar Under Combined Bending and Torsion

    Article • Journal of Manufacturing Science and Engineering, January 2011, ASME International

    Vladimir Kobelev

  87. Comments on “Shape and topology optimization for periodic problems part I: the shape and the topological derivative”

    Article • Structural and Multidisciplinary Optimization, May 2010, Springer Science + Business Media

    Vladimir Kobelev

  88. Elastic-plastic work-hardening deformation under combined bending and torsion and residual stresses in helical springs

    Article • International Journal of Material Forming, April 2010, Springer Science + Business Media

    Vladimir Kobelev

  89. Theory of optimal residual stresses and defects distribution

    Article • Structural and Multidisciplinary Optimization, September 2009, Springer Science + Business Media

    Vladimir Kobelev

  90. “Bubble-and-grain” method and criteria for optimal positioning inhomogeneities in topological optimization

    Article • Structural and Multidisciplinary Optimization, May 2009, Springer Science + Business Media

    Vladimir Kobelev

  91. Linear non‐conservative systems with fractional damping and the derivatives of critical load parameter

    Article • GAMM-Mitteilungen, July 2007, Wiley

    Vladimir Kobelev

  92. The variant of post-Newtonian mechanics with generalized fractional derivatives

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2006, American Institute of Physics

    Vladimir Kobelev

  93. Mircopolar Model of Fracture for Composite Material

    Article • Meccanica, October 2006, Springer Science + Business Media

    Vladimir Kobelev

  94. Sensitivity analysis of the linear nonconservative systems with fractional damping

    Article • Structural and Multidisciplinary Optimization, October 2006, Springer Science + Business Media

    Vladimir Kobelev

  95. Article • Meccanica, January 2002, Springer Science + Business Media

    Vladimir Kobelev

  96. Design and optimization of elastic nonlinear helical springs

    Article • August 1998, American Institute of Aeronautics and Astronautics (AIAA)

    Vladimir Kobelev

  97. Bubble method for topology and shape optimization of structures

    Article • Structural Optimization, August 1994, Springer Science + Business Media

    Vladimir Kobelev

  98. A structural model of ceramics: Multiple fracture

    Article • Meccanica, September 1993, Springer Science + Business Media

    Vladimir Kobelev

  99. On a game approach to optimal structural design

    Article • Structural Optimization, September 1993, Springer Science + Business Media

    Vladimir Kobelev

  100. Isoperimetric inequalities in optimal structural design

    Article • Structural Optimization, March 1993, Springer Science + Business Media

    Vladimir Kobelev

  101. Isoperimetric Inequalities in Stability Problems

    Article • January 1993, Springer Science + Business Media

    Vladimir Kobelev

  102. Explicit crack problem solutions of hybrid composites

    Article • International Journal of Solids and Structures, January 1993, Elsevier

    Vladimir Kobelev

  103. Structural analysis and optimization modelling including fracture conditions

    Article • International Journal for Numerical Methods in Engineering, May 1992, Wiley

    Vladimir Kobelev

  104. Microstructural Model of a Fibrous Composite Fracture

    Article • Mechanics of Structures and Machines, January 1992, Taylor & Francis

    Vladimir Kobelev

  105. A Structural Model of Ceramic Deformation and Fracture∗

    Article • Mechanics of Structures and Machines, January 1991, Taylor & Francis

    Vladimir Kobelev

  106. Shape Optimization Using Boundary Elements

    Article • January 1991, Springer Science + Business Media

    Vladimir Kobelev

  107. Isoperimetric Inequalities in the Anisotropic Rod Torsion Problem∗

    Article • Mechanics of Structures and Machines, June 1990, Taylor & Francis

    Vladimir Kobelev

  108. Fragmentation of a composite material and fragmentation of fibres under a dynamic load

    Article • Journal of Applied Mathematics and Mechanics, January 1990, Elsevier

    Vladimir Kobelev

  109. Rational bounding in the problem of the plane stress state of an ideal fiber composite

    Article • Journal of Applied Mechanics and Technical Physics, January 1990, Springer Science + Business Media

    Vladimir Kobelev

  110. Pull-out of fibers from the matrix on the surface of a crack in a composite

    Article • Mechanics of Composite Materials, January 1990, Springer Science + Business Media

    Vladimir Kobelev

  111. An isoperimetric inequality in the optimization of circular rings under normal pressure

    Article • Journal of Optimization Theory and Applications, June 1989, Springer Science + Business Media

    Vladimir Kobelev

  112. Numerical method for shape optimization using BEM

    Article • Computers & Structures, January 1989, Elsevier

    Vladimir Kobelev

  113. Integral Equation Methods in the Internal Structure Optimization

    Article • January 1989, Springer Science + Business Media

    Vladimir Kobelev

  114. Model of thin-walled anisotropic rods

    Article • Mechanics of Composite Materials, January 1988, Springer Science + Business Media

    Vladimir Kobelev

  115. Fracture of fibers by a crack propagating in a composite

    Article • Mechanics of Composite Materials, January 1988, Springer Science + Business Media

    Vladimir Kobelev

  116. Isoperimetric inequality in the problem of the stability of a circular ring under normal pressure

    Article • Journal of Applied Mathematics and Mechanics, January 1988, Elsevier

    Vladimir Kobelev

  117. On optimal plastic anisotropy

    Article • Journal of Applied Mathematics and Mechanics, January 1987, Elsevier

    Vladimir Kobelev

  118. Rational schemes for reinforcing laminar plates from composite materials

    Article • Journal of Applied Mathematics and Mechanics, January 1984, Elsevier

    Vladimir Kobelev

  119. Analytical solutions to problems of optimum reinforcement for multilayer plates made of composite materials

    Article • Mechanics of Composite Materials, January 1984, Springer Science + Business Media

    Vladimir Kobelev

  120. Optimization of structures made of randomly reinforced composites

    Article • Mechanics of Composite Materials, January 1982, Springer Science + Business Media

    Vladimir Kobelev

  121. Optimizing the effective characteristics of granular composites in component-design problems

    Article • Mechanics of Composite Materials, January 1981, Springer Science + Business Media

    Vladimir Kobelev