摘要：Since its initial development as a tool for structural analysis around the
mid-fifties the Finite Element Method (FEM) has evolved to become the most
popular and used method in modern Computational Solid Mechanics. On the other
hand, the Finite Volume Method (FVM) born almost at the same time, has
evolved too and become one of the most popular methods in the area of
Computational Fluid Mechanics. Both methods have surpassed the historical
finite differences method and other discretization methods, and nowadays,
researchers typically use one or the other to obtain numerical simulations of
all types of physical phenomena. However, although FEM is at present being
actively used to solve the equations of compressible and incompressible
flows, there are not many works about the usage of FVM in solving the
equations of solid materials. The physical flavor, the conservation properties
and some properties of reduced integration of the FVM, are advantages that
could be very useful in the context of Computational Solid Mechanics as they
are in the context of Computational Fluid Mechanics (CFD). In the present
work we show our first results in our attempt to develop a Finite Volume Method
for Non-linear Solid Mechanics.
