Nonlinear Computational Structural Mechanics

1. Front Matter

   Pages i-xii

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2. The Reference Problem for Small Disturbances

   • Pierre Ladevèze

   Pages 1-7

3. Material Models

   • Pierre Ladevèze

   Pages 9-37

4. Solution Methods for Nonlinear Evolution Problems

   • Pierre Ladevèze

   Pages 39-53

5. Principles of the Method of Large Time Increments

   • Pierre Ladevèze

   Pages 55-100

6. A Preliminary Example: A Beam in Traction

   • Pierre Ladevèze

   Pages 101-110

7. A “Mechanics” Approximation and Numerical Implementation

   • Pierre Ladevèze

   Pages 111-133

8. Modeling and Calculation for Structures under Cyclic Loads

   • Pierre Ladevèze

   Pages 135-147

9. Formulation and “Parallel” Strategies in Mechanics

   • Pierre Ladevèze

   Pages 149-176

10. Modeling and Computation for Large Deformations

    • Pierre Ladevèze

    Pages 177-204

11. Back Matter

    Pages 205-222

    PDF

Mechanical Engineering, an engineering discipline borne of the needs of the in­ dustrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of pro­ ductivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series features graduate texts and research mono­ graphs intended to address the need for information in contemporary areas ofme­ chanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and re­ search. We are fortunate to have a distinguished roster ofconsulting editors on the advisory board, each an expert in one ofthe areas ofconcentration. The names of the consulting editors are listed on the next page of this volume. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics ofmaterials, processing, ther­ mal science, and tribology. Frederick A. Leckie,the series editor for applied mechanics, and I are pleased to presentthis volume in the Series: Nonlinear Computational Structural Mechan­ ics: New Approaches and Non-Incremental Methods of Calculation, by Pierre Ladeveze. The selection of this volume underscores again the interest of the Me­ chanical Engineering series to provide our readers with topical monographs as well as graduate texts in a wide variety of fields.

• beam
• damage
• deformation
• fluid mechanics
• mechanics
• model
• modeling
• statics
• stress
• structural mechanics
• structure

• LMT-Cachan; Ecole Normale Supèrieure, CNRS, Universite de Paris 6, Cachan, France

  Pierre Ladevèze

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