## Continuum mechanics

Modelling an object as a **continuum** assumes that the substance of the object completely fills the space it occupies. Modelling objects in this way ignores the fact that matter is made of atoms , and so is not continuous; however, on length scales much greater than that of inter-atomic distances

**wikipedia.org**| 2011/10/1 6:28:32

## Shakedown (continuum mechanics)

In **continuum mechanics** , elastic shakedown behavior is one in which plastic deformation takes place during running in , while due to residual stresses or strain hardening the steady state is perfectly elastic. Plastic shakedown behavior is one in which the steady state is a closed elastic

**wikipedia.org**| 2010/9/26 11:15:02

## Tensor derivative (continuum mechanics)

The derivatives of scalars , vectors , and second-order tensors with respect to second-order tensors are of considerable use in **continuum mechanics** . These derivatives are used in the theories of nonlinear elasticity and plasticity , particularly in the design of algorithms for numerical

**wikipedia.org**| 2011/5/7 3:27:30

## Solid mechanics

As shown in the following table, solid **mechanics** inhabits a central place within **continuum mechanics** . The field of rheology presents an overlap between solid and fluid **mechanics** . **Continuum mechanics** The study of the physics of continuous materials Solid **mechanics** The study of

**wikipedia.org**| 2010/10/2 1:36:58

## Lagrangian mechanics

In Lagrangian **mechanics** , the trajectory of a system of particles is derived by solving the Lagrange equations in one of two forms, either the Lagrange equations of the first kind , [ 1 ] which treat constraints explicitly as extra equations, often using Lagrange multipliers ; [ 2 ] [ 3 ]

**wikipedia.org**| 2011/5/10 11:29:09

## Stress (mechanics)

In **continuum mechanics** , stress is a measure of the internal forces acting within a deformable body . Quantitatively, it is a measure of the average force per unit area of a surface within the body on which internal forces act. These internal forces are a reaction to external forces applied

**wikipedia.org**| 2011/5/18 18:35:03

## Statistical mechanics

Statistical **mechanics** provides a molecular-level interpretation of macroscopic thermodynamic quantities such as work , heat , free energy , and entropy . It enables the thermodynamic properties of bulk materials to be related to the spectroscopic data of individual molecules. This ability

**wikipedia.org**| 2011/5/27 2:52:13