文档介绍：Draft
DRAFT
Lecture Notes
Introduction to
MECHANICSofMATERIALS
Fundamentals of Inelastic Analysis
c VICTOR E. SAOUMA
Dept. of Civil Environmental and Architectural Engineering
University of Colorado, Boulder, CO 80309-0428
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Victor Saouma Mechanics of Materials II
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PREFACE
One of the most fundamental question that an Engineer has to ask him/herself is what is how does
it deform, and when does it break. Ultimately, it its the answer to those two questions which would
provide us with not only a proper safety assesment of a structure, but also how to properly design it.
Ironically, botht he ACI and the AISC codes are based on limit state design, yet practically all design
analyses are linear and elastic. On the other hand, the Engineer is often confronted with the task of
determining the ultimate load carying capacity of a structure or to assess its progressive degradation (in
the ontect of a forensic study, or the rehabilitation, or life extension of an existing structure). In those
particular situations, the Engineer should be capable of going beyond the simple linear elastic analysis
investigation.
Whereas the Finite Element Method has proved to be a very powerful investigative tool, its proper
(and correct) usage in the context of non-linear analysis requires a solid and thorough understanding of
the fundamentals of Mechanics. Unfortunately, this is often forgotten as students rush into ever more
advanced FEM classes without a proper solid background in Mechanics.
In the humble opinion of the author, this understanding is best achieved in two stages. First, the
student should be exposed to the basic principles of Continuum Mechanics. Detailed coverage of (3D)
Stress, Strain, General Principles, and Constitutive Relations is essential. In here we shall go from the
general to the specific.
Then material models should be studied. Plasticity will provide a framework from where to determine
th