Mathematica does nearly all the ordinary engineering mathematics which working engineers need. Mathematica has always done more than Computer Algebra (CA). Numerics, graphics, and user-interface matters have been smoothly integrated with the CA. Mathematica 3 adds mathematical word processing and hyperlinks. This opens the way to truly impressive, useful ‘electronic books’, ‘interactive enginee...

The torsion function of a plane domain is a function which is zero on the boundary of the domain and whose Laplacian is minus one at every point in the interior of the domain. We survey qualitative properties of the torsion function, and bounds on it and its derivatives, available when the plane domain is convex.

We establish a homogenization result and a corrector result for a vibration problem of elasticity. We assume that the data depend in a periodic way on a small parameter ε. We assume also that the Lamé coefficients take possibly high values in a periodical set of disconnected inclusions and take values of the order ε2 elsewhere. In the fibered case, torsional vibrations take place at an infinite...

The aim of this study is to show the relationship of elastic large deformation between torque and torsional angle for a bar with rectangular cross section. The formula about torque and torsional angle is modified by numerical analysis and experimental verification. High order item of torsional angle is added to the traditional formula, based on different boundary condition, which was set to zer...