##
**Elastic and inelastic stress analysis.**
*(English)*
Zbl 0744.73003

Englewood Cliffs, NJ: Prentice Hall. xiv, 722 p. (1992).

The book gives both introduction and advanced theories within continuum mechanics. It was meant as a textbook for graduate-level courses, but it is equally useful for self-studies and consults for all kind of engineers.

There are three main parts: (I) fundamentals, (II) useful constitutive laws, and (III) applications to simple structural members.

(I) At the beginning there is a short and comprehensive course on (Cartesian) tensors and the main results and tools from mathematics to be used later in the book. The description of stresses and strains of deformed continua are also fundamentals. (II) The missing link between these two concepts are the constitutive laws. As any other treatise in this field, it starts with elasticity. But later, also the inelastic theories such as viscoelasticity, plasticity, and viscoplasticity are presented in detail. (III) The book is for engineers. Thus, technical theories and applications cover a large part of it. The constitutive laws are applied to simple structural members such as beams, shafts, plain strain and plane stress structures. Here, a huge number of analytic solutions is presented. However, we are missing more links to the numerical treatment of such problems. This was done in a separate book by one of the authors.

The book is not limited to linear problems, but also presents lots of nonlinear ones. It includes metals and polymers as well as many other kinds of solid body behavior. There is such a huge amount of theories, solutions, and useful hints collected on more than 700 pages, that this work surely competes among the huge number of books in this field. The description is clear and careful, not oversimplifying problems, but instead appropriate to offer a profound understanding of the matter, which is by no means simple or closed.

There are three main parts: (I) fundamentals, (II) useful constitutive laws, and (III) applications to simple structural members.

(I) At the beginning there is a short and comprehensive course on (Cartesian) tensors and the main results and tools from mathematics to be used later in the book. The description of stresses and strains of deformed continua are also fundamentals. (II) The missing link between these two concepts are the constitutive laws. As any other treatise in this field, it starts with elasticity. But later, also the inelastic theories such as viscoelasticity, plasticity, and viscoplasticity are presented in detail. (III) The book is for engineers. Thus, technical theories and applications cover a large part of it. The constitutive laws are applied to simple structural members such as beams, shafts, plain strain and plane stress structures. Here, a huge number of analytic solutions is presented. However, we are missing more links to the numerical treatment of such problems. This was done in a separate book by one of the authors.

The book is not limited to linear problems, but also presents lots of nonlinear ones. It includes metals and polymers as well as many other kinds of solid body behavior. There is such a huge amount of theories, solutions, and useful hints collected on more than 700 pages, that this work surely competes among the huge number of books in this field. The description is clear and careful, not oversimplifying problems, but instead appropriate to offer a profound understanding of the matter, which is by no means simple or closed.

Reviewer: A.Bertram (Berlin)

### MSC:

74-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids |

74Bxx | Elastic materials |

74Cxx | Plastic materials, materials of stress-rate and internal-variable type |

74Dxx | Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) |

74A20 | Theory of constitutive functions in solid mechanics |