Description

Book Synopsis

Today the fundamentals of solid mechanics may be explained by "numerical" experiments using the finite element method. The explanation is detailed in this book using many examples. After a short review of how the finite element method works (in Chapter 1), Chapter 2 develops some key points of solid mechanics: what is a beam? when and how can a structure be represented by beam elements? what are the basic hypotheses? what kind of information does a beam model provide? A generalized beam element is also presented.

Chapter 3 uses the same approach for the discussion on stress concentrations and stress singularities: local effects; influence of geometric discontinuities, such as holes or corners; mesh refinements and/or analytic-numeric approaches.

Chapter 4 is devoted to plate modeling: coupling of membrane and bending, folded, stiffened, composite plates.

Chapter 5 provides a short presentation of the dynamics of structures with a particular focus on the modal method, the influence of local defaults on the modal response is also analyzed.

Commercial software (Ansys) is used to study the examples.

Solid Mechanics using the Finte Element Method

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    A Hardback by Alain Berlioz, Philippe Trompette

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      Book details

      Publisher ISTE Ltd and John Wiley & Sons Inc
      Published 17 November 2009
      ISBN-13 9781848211919
      978-1848211919
      ISBN-10 1848211910
      Also in:
      Engineering: Mechanics of solids

      Description

      Book Synopsis

      Today the fundamentals of solid mechanics may be explained by "numerical" experiments using the finite element method. The explanation is detailed in this book using many examples. After a short review of how the finite element method works (in Chapter 1), Chapter 2 develops some key points of solid mechanics: what is a beam? when and how can a structure be represented by beam elements? what are the basic hypotheses? what kind of information does a beam model provide? A generalized beam element is also presented.

      Chapter 3 uses the same approach for the discussion on stress concentrations and stress singularities: local effects; influence of geometric discontinuities, such as holes or corners; mesh refinements and/or analytic-numeric approaches.

      Chapter 4 is devoted to plate modeling: coupling of membrane and bending, folded, stiffened, composite plates.

      Chapter 5 provides a short presentation of the dynamics of structures with a particular focus on the modal method, the influence of local defaults on the modal response is also analyzed.

      Commercial software (Ansys) is used to study the examples.

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