How Long to Read Spatial and Material Forces in Nonlinear Continuum Mechanics

By Paul Steinmann

How Long Does it Take to Read Spatial and Material Forces in Nonlinear Continuum Mechanics?

It takes the average reader 7 hours and 11 minutes to read Spatial and Material Forces in Nonlinear Continuum Mechanics by Paul Steinmann

Assuming a reading speed of 250 words per minute. Learn more

Description

This monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the spatial positions of its continuum points. However, if in agreement with the second law, continuum points, e.g. on the boundary, may also change their material positions. Configurational forces are then power conjugate to these configurational changes. A paradigm is a crack tip, i.e. a singular part of the boundary changing its position during crack propagation, with the related configurational force, typically the J-integral, driving its evolution, thereby consuming power, typically expressed as the energy release rate. Taken together, configurational mechanics is an unconventional branch of continuum physics rationalising and unifying the tendency of a continuum body to change its material configuration. It is thus the ideal formulation to tackle sophisticated problems in continuum defect mechanics. Configurational mechanics is entirely free of restrictions regarding geometrical and constitutive nonlinearities and offers an accompanying versatile computational approach to continuum defect mechanics. In this monograph, I present a detailed summary account of my approach towards configurational mechanics, thereby fostering my view that configurational forces are indeed dissipation-consistent to configurational changes.

How long is Spatial and Material Forces in Nonlinear Continuum Mechanics?

Spatial and Material Forces in Nonlinear Continuum Mechanics by Paul Steinmann is 418 pages long, and a total of 107,844 words.

This makes it 141% the length of the average book. It also has 132% more words than the average book.

How Long Does it Take to Read Spatial and Material Forces in Nonlinear Continuum Mechanics Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 49 minutes to read Spatial and Material Forces in Nonlinear Continuum Mechanics aloud.

What Reading Level is Spatial and Material Forces in Nonlinear Continuum Mechanics?

Spatial and Material Forces in Nonlinear Continuum Mechanics is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Spatial and Material Forces in Nonlinear Continuum Mechanics?

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