A Course on Plasticity Theory

Erscheinungsjahr 2023
ISBN: 978-0-19-288315-5
Verlag: Oxford University Press

Buch, Englisch, 208 Seiten, Print PDF, Format (B × H): 175 mm x 253 mm, Gewicht: 582 g

Plasticity Theory is characterized by many competing and often incompatible points of view. This book seeks to strengthen the foundations of continuum plasticity theory, emphasizing a unifying perspective grounded in the fundamental notion of material symmetry.

Steigmann's book offers a systematic framework for the proper understanding of established models of plasticity and for their modern extensions and generalizations. Particular emphasis is placed on the differential-geometric aspects of the subject and their role in illuminating the conceptual foundations of plasticity theory. Classical models, together with several subjects of interest in contemporary research, are developed in a unified format. The book is addressed to graduate students and academics working in the field of continuum mechanics.

Autoren/Hrsg.

Steigmann, David J.

Fachgebiete

• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde

Inhaltsverzeichnis

- 1: Preliminaries

- 2: Brief resumé of nonlinear elasticity theory

- 3: A primer on tensor analysis in three-dimensional space

- 4: Deformation and stress in convected coordinates

- 5: Elastic and plastic deformations

- 6: Energy, stress, dissipation and plastic evolution

- 7: Isotropy

- 8: Small-deformation theory

- 9: Strain hardening, rate sensitivity and gradient plasticity

- Solutions to selected problems

Über Autor(innen)

David J. Steigmann is Professor of Mechanical Engineering at the University of California, Berkeley.