How Long to Read The Scaled Boundary Finite Element Method

How Long Does it Take to Read The Scaled Boundary Finite Element Method?

It takes the average reader 6 hours and 50 minutes to read The Scaled Boundary Finite Element Method by John P. Wolf

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

Description

A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.

How long is The Scaled Boundary Finite Element Method?

The Scaled Boundary Finite Element Method by John P. Wolf is 398 pages long, and a total of 102,684 words.

This makes it 134% the length of the average book. It also has 125% more words than the average book.

How Long Does it Take to Read The Scaled Boundary Finite Element Method Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 21 minutes to read The Scaled Boundary Finite Element Method aloud.

What Reading Level is The Scaled Boundary Finite Element Method?

The Scaled Boundary Finite Element Method 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 The Scaled Boundary Finite Element Method?

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