Details

Autor(en) / Beteiligte

• Silling, S.A.
• Lehoucq, R.B.

Titel

Peridynamic Theory of Solid Mechanics

Ist Teil von

• Advances in Applied Mechanics, 2010, Vol.44, p.73-168

Ort / Verlag

San Diego, CA: Elsevier Science & Technology

Erscheinungsjahr

2010

Beschreibungen/Notizen

• The classical theory of solid mechanics is based on the assumption of a continuous distribution of mass within a body and all internal forces are contact forces that act across zero distance. The mathematical description of a solid that follows from these assumptions relies on PDEs that additionally assume sufficient smoothness of the deformation for the PDEs to make sense in their either strong or weak forms. The classical theory has been demonstrated to provide a good approximation to the response of real materials down to small length scales, particularly in single crystals, provided these assumptions are met. Nevertheless, technology increasingly involves the design and fabrication of devices at smaller and smaller length scales, even interatomic dimensions.