He is known for Morera's theorem in the theory of functions of a complex variable and for his work in the theory of linear elasticity.
12.
If a particular type, in linear elasticity, or more precisely by a tensor field of type, since the stresses may vary from point to point.
13.
The scale factors are sometimes called Lam?coefficients, but this terminology is best avoided since some more well known coefficients in linear elasticity carry the same name.
14.
The BDDC method is often used to solve problems from linear elasticity, and it can be perhaps best explained in terms of the deformation of an elastic structure.
15.
He made important contributions to linear elasticity : the Somigliana integral equation, analogous to Green's formula in potential theory, and the Somigliana dislocations are named after him.
16.
Its scientific interests mainly are in the fields of calculus of variations and partial differential equations including applications, for example in the theory of non-linear elasticity and in biology.
17.
When the rotation or stretch of a sub volume is large, errors can be introduced into the calculation of cell surface tractions since most TFM techniques employ a computational framework based on linear elasticity.
18.
When small deflections of a structure are to be analyzed, elastica theory is not required and an approximate solution may be found using the simpler linear elasticity theory or ( for 1-dimensional components ) beam theory.
19.
For small strains, the measure of stress that is used is the infinitesimal strain tensor; the resulting ( predicted ) material behavior is termed linear elasticity, which ( for isotropic media ) is called the generalized Hooke's law.
20.
For second-order problems, such as the Laplace equation or linear elasticity, the matrix of the system has condition number of the order 1 / " h " 2, where " h " is the characteristic element size.