11R22. Unified Plasticity for Engineering Applications. Mathematical Concepts and Methods in Science and Engineering, Vol 47. - SR Bodner (Technion-Israel Inst of Tech, Haifa, Israel). Kluwer Acad/Plenum, New York. 2002. 115 pp. ISBN 0-306-46744-5. $75.00.

Reviewed by S Kaliszky (Dept of Struct Mech, Tech Univ, Muegyetem rkp 3, Kmf 35, Budapest, H-1521, Hungary).

Constitutive equations of plasticity which usually do not include a yield condition and do not separate the elastic and inelastic strains during the overall material response are considered unified. This monograph presents a unified plasticity theory based on the material models elaborated by Rodner and Partom during the past 30 years. The theory does not require yield criterion or loading and unloading conditions. Considering small strains, the elastic and inelastic strain rates are supposed to be additive and generally non-zero at all stages of loading and unloading. The equations describing the theory are reasonably simple, have a firm physical basis, and represent the principal macroscopic properties of inelastic materials such as strain rate sensitivity, temperature dependence, stress saturation under imposed loading, isotropic and directional hardening for monothonic and reverse loadings, primary and secondary creep, thermal recovery of hardening, and stress relaxation. The comparisons of the model to a number of experimental results show good agreement. In addition to the theory, methods based on conventional uniaxial stress tests, which can be used to the determination of the parameters and material constants appearing in the constitutive equations, are also proposed, and a list of these parameters for different metals and metallic alloys are presented.

There are a number of subjects in dynamic plasticity such as wave propagation in structures due to impact, overall structural response due to high intensity rapidly applied pressure, and ballistic penetration where inelastic deformation, strain rate sensitivity, hardening, and temperature effects have a dominant role. The proposed material model takes all these material characteristics and effects in a set of equations into consideration, and therefore, can form a firm and efficient basis to the investigation of dynamic plasticity problems and other specific applications such as, eg, gas turbine engines and power generation plants. To promote the application, a number of finite element programs listed in the book have been developed that implement the proposed constitutive equation as a material model.

The monograph is confined to the detailed and very precise discussion of the Bodner-Partom unified plasticity model and to the comparison to its results of several experiments and to a number of exercises by various authors. It was not the intention of the author to present a comprehensive description and criticism of other unified material models. The illustration of industrial applications of the proposed constitutive equation by showing a few examples is also not included in the book.

The presentation of the book is excellent. The text is well written, the treatment and derivation of the theories are clear, and the figures and diagrams are of good quality. The monograph is an important and valuable contribution to material sciences and theory of plasticity. Unified Plasticity for Engineering Applications is highly suggested to researchers, PhD and postdoctoral students working in these fields, and to engineers dealing with the design and control of special structural and industrial problems at which the high intensity dynamic loads, the inelastic and viscous material properties, and the high temperature effects have a dominant role.