- Series: Dover Civil and Mechanical Engineering
- Paperback: 704 pages
- Publisher: Dover Publications; 1 edition (August 16, 2000)
- Language: English
- ISBN-10: 0486411818
- ISBN-13: 978-0486411811
- Product Dimensions: 6.2 x 1.5 x 9 inches
- Shipping Weight: 2.1 pounds (View shipping rates and policies)
- Average Customer Review: 40 customer reviews
- Amazon Best Sellers Rank: #228,757 in Books (See Top 100 in Books)
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The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (Dover Civil and Mechanical Engineering) 1st Edition
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- Explain the concept: Reformulate differential equations problem using a weak formulation (Galerkin-Ritz), then approximate with basis functions around the Nodes.
- Explain IN DETAIL the construction of the element shape functions: You actually don't need the concept of 'element' at all for the Galerkin method. The only time this comes up is when you look at how good the approximation is, and for this you group the local basis functions into 'elements' to see the effect across boundaries. If you haven't done FE before, you have never come across this anywhere else, so this is a new thing, and the devil is in the detail and takes some getting used to. Yet I swear this is the ONLY book I found that actually explains the shape functions properly. Very disappointed with the FE community for all this junk out there.
I love how in the examples this book takes up the continuum mechanics equations properly, in their pure form (tensors), without trying to derive ad-hoc certain 'virtual work equations', which is BS. The 'virtual work' equation is the weak formulation of the motion equilibrium equation. I guess that's what you get when you start with beams and plates. Hughes sticks to explaining what the book is about, FE concepts, and doesn't go on a tangent like most other books trying to deduce some physics instead of teaching FE.
To top it off, the author is nice enough to define everything for you, just in case you can't remember, literally all the math from the ground up, somehow without cluttering the narrative. This is straight-forward for any undergraduate with basic math to understand, but is just as good a read for the advanced reader new to the subject.
It probably helps if you know solid/continuum mechanics, but I think you'll get by without it to understand the concepts expounded here. Of course in the long run, why do FE if you don't know continuum mechanics.
**One word of caution for implementing FE: quadrature accuracy will screw things up pretty badly if insufficient, not just 'approximately'. 4th order is inadequate in 3D, which is obvious when you consider the basis function derivatives involved.
Great bargain for the price.
Good for stablishing routines and procedures if you are willing to create your own brand new program. But also good if you are willing to use the routine that the authors wrote. You can find them at: [...]
Have a good time reading and working with Finite Elements as I am doing.
Most recent customer reviews
Problems are somewhat strenuous but you can find a solutions manual...Read more