An Introduction to Biomechanics: Solids and Fluids, Analysis by Jay D. Humphrey, Sherry L. O'Rourke

By Jay D. Humphrey, Sherry L. O'Rourke

This e-book covers the basics of biomechanics. themes comprise bio solids, biofluids, tension, stability and equilibrium. scholars are inspired to contextualize ideas and workouts inside a “big photograph” of biomechanics. this is often a fantastic e-book for undergraduate scholars with pursuits in biomedical engineering.

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Extra info for An Introduction to Biomechanics: Solids and Fluids, Analysis and Design

Example text

5). In other words, the utility of any of our designs or analyses must first be checked in the laboratory. Recall, too, that matter is typically thought to exist in one of three phases: solid, liquid, or gas. Mechanics tends to be divided along these lines into solid mechanics and fluid mechanics, where fluid mechanics includes the study of both liquids and gases. That is, one can define a fluid as a substance that assumes (within short times) the shape of the container in which it is placed, whereas a solid tends to resist such shape changes unless so forced.

Our focus herein is on deformable solids and viscous fluids, for which it is often convenient to study separately the linear and nonlinear behaviors (Fig. 4), which give rise to additional subfields of study such as elasticity and plasticity (in solid mechanics) or Newtonian and non-Newtonian fluid mechanics. , the stiffening response of soft tissues to increasing loads or the flow-dependent viscosity of blood), we shall focus primarily on the linear behavior of both solids and fluids. Not only do such problems serve as a natural preparation for the consideration of the more complex problems found in advanced courses, but many solutions to linear problems are fundamental to clinical and industrial applications as well as to basic research.

For example, discrete mechanics is useful when studying athletic performance at the scale of the whole person and statistical mechanics is fundamental to understanding structure – function relations of individual biomolecules. The focus of this book, however, is at the scales of cells, tissues, and organs, and thus the development, extension, and application of continuum mechanics to study living things and the materials or structures with which they interact. , the study of motion), the concept of force (and related measures such as tractions, stress, and pressure), the five basic postulates (namely, balance of mass, linear momentum, energy, and angular momentum, plus the entropy inequality), constitutive relations (which quantify how individual materials respond to applied loads under conditions of interest), and initial or boundary conditions (which close a problem mathematically and thus allow its solution).

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