WebIn continuum mechanics, the Cauchy stress tensor, true stress tensor, or simply called the stress tensor is a second order tensor named after Augustin-Louis Cauchy.The tensor consists of nine components that completely define the state of stress at a point inside a material in the deformed state, placement, or configuration. The tensor relates a unit …

WebThus the stress state of the material must be described by a tensor, called the (Cauchy) stress tensor; which is a linear function that relates the normal vector n of a surface S to the traction vector T across S. With respect to any chosen coordinate system, the Cauchy stress tensor can be represented as a symmetric matrix of 3×3

WebThe viscous stress tensor is a tensor used in continuum mechanics to model the part of the stress at a point within some material that can be attributed to the strain rate, the rate at which it is deforming around that point.. The viscous stress tensor is formally similar to the elastic stress tensor (Cauchy tensor) that describes internal forces in an elastic …

WebCabe señalar que en un problema mecánico a priori es difícil conocer el tensor tensión de Cauchy ya que este está definido sobre la geometría del cuerpo una vez deformado, y ésta no es conocida de antemano. Por tanto previamente es necesario encontrar la forma deformada para conocer exactamente el tensor de Cauchy. Sin embargo, cuando ...

WebA hyperelastic or Green elastic material is a type of constitutive model for ideally elastic material for which the stress–strain relationship derives from a strain energy density function.The hyperelastic material is a special case of a Cauchy elastic material.. For many materials, linear elastic models do not accurately describe the observed material …

WebThe present disambiguation page holds the title of a primary topic, and an article needs to be written about it. It is believed to qualify as a broad-concept article.It may be written directly at this page or drafted elsewhere and then moved over here. Related titles should be described in Stress tensor, while unrelated titles should be moved to Stress tensor …

WebAn elementary example of a mapping describable as a tensor is the dot product, which maps two vectors to a scalar.A more complex example is the Cauchy stress tensor T, which takes a directional unit vector v as input and maps it to the stress vector T (v), which is the force (per unit area) exerted by material on the negative side of the plane …

WebInfinitesimal strain tensor. For infinitesimal deformations of a continuum body, in which the displacement gradient (2nd order tensor) is small compared to unity, i.e. ‖ ‖, it is possible to perform a geometric linearization of any one of the (infinitely many possible) strain tensors used in finite strain theory, e.g. the Lagrangian strain tensor , and the Eulerian strain …

WebThe stress–energy tensor, sometimes called the stress–energy–momentum tensor or the energy–momentum tensor, is a tensor physical quantity that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics.It is an attribute of matter, radiation, and non-gravitational force fields.This density …

WebIn general relativity, the metric tensor (in this context often abbreviated to simply the metric) is the fundamental object of study.It may loosely be thought of as a generalization of the gravitational potential of Newtonian gravitation. [clarification needed] The metric captures all the geometric and causal structure of spacetime, being used to define notions such as …