Strength Analysis in Geomechanics

1. Front Matter

   Pages I-XIV

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2. Introduction: Main Ideas

   • Serguey A. Elsoufiev

   Pages 1-29

3. Main Equations in Media Mechanics

   • Serguey A. Elsoufiev

   Pages 31-45

4. Some Elastic Solutions

   • Serguey A. Elsoufiev

   Pages 47-83

5. Elastic-Plastic and Ultimate State of Perfect Plastic Bodies

   • Serguey A. Elsoufiev

   Pages 85-124

6. Ultimate State of Structures at Small Non-Linear Strains

   • Serguey A. Elsoufiev

   Pages 125-160

7. Ultimate State of Structures at Finite Strains

   • Serguey A. Elsoufiev

   Pages 161-183

8. Erratum

   • Springer-Verlag Berlin Heidelberg

   Pages E1-E2

9. Back Matter

   Pages 185-233

   PDF

It is hardly possible to ?nd a single rheological law for all the soils. However, they have mechanical properties (elasticity, plasticity, creep, damage, etc. ) that are met in some special sciences, and basic equations of these disciplines canbeappliedtoearthstructures. Thiswayistakeninthisbook. Itrepresents the results that can be used as a base for computations in many ?elds of the Geomechanics in its wide sense. Deformation and fracture of many objects include a row of important e?ects that must be taken into account. Some of them can be considered in the rheological law that, however, must be simple enough to solve the problems for real objects. On the base of experiments and some theoretical investigations the c- stitutive equations that take into account large strains, a non-linear unsteady creep, an in?uence of a stress state type, an initial anisotropy and a damage are introduced. The test results show that they can be used ?rst of all to ?nding ultimate state of structures – for a wide variety of monotonous lo- ings when equivalent strain does not diminish, and include some interrupted, step-wise and even cycling changes of stresses. When the in?uence of time is negligible the basic expressions become the constitutive equations of the plasticity theory generalized here. At limit values of the exponent of a ha- ening law the last ones give the Hooke’s and the Prandtl’s diagrams.

• Creep
• Elastic Deformation
• Nonlinear Strain
• calculus
• damage
• deformation
• fracture
• linearity
• mechanics
• plastic deformation
• stress
• structure

From the reviews:

"This book presents a new analysis of the solutions for geomechanical problems, tacking into account nonlinear effects, fracture and damage of structures. … The work is organized in 6 chapters, followed by 14 appendices and a bibliography. … The book is recommended to civil engineers and geologists." (Olivian Simionescu, Zentralblatt MATH, Vol. 1116 (18), 2007)

• Bochum, Germany

  Serguey A. Elsoufiev

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