modify your search
Results for DC.creator="A." AND DC.creator="Authier" in section 1.3.2 of volume D page 1 of 2 pages. |
Stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2, pp. 76-80 [ doi:10.1107/97809553602060000902 ]
... tensor 1.3.2. Stress tensor 1.3.2.1. General conditions of equilibrium of a solid | | Let us consider a solid C, in movement or not, with a mass distribution defined by a specific mass [rho] at ...
Local properties of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.7, p. 79 [ doi:10.1107/97809553602060000902 ]
... tensor (i) Normal stress and shearing stress: let us consider a surface area element d[sigma] within the solid, the normal ... stress quadric, where . It may be an ellipsoid or a hyperboloid. Referred to the principal axes, and using Voigt's ... quadric (Fig. 1.3.2.7) through the relation The stress applied to a small surface element d[sigma] normal to n, , is ...
Boundary conditions
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.6, pp. 78-79 [ doi:10.1107/97809553602060000902 ]
... the surface. If C is subjected from the outside to a distribution of stresses (apart from the volume forces mentioned earlier ...
Interpretation of the components of the stress tensor - special forms of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.5.2, p. 78 [ doi:10.1107/97809553602060000902 ]
... of the stress tensor (i) Uniaxial stress: let us consider a solid shaped like a parallelepiped whose faces are normal to three orthonormal axes (Fig. ... correspond to uniaxial stresses on these faces. If there is a single uniaxial stress, the tensor is of the form ...
Voigt's notation, reduced form of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.5.1, p. 78 [ doi:10.1107/97809553602060000902 ]
Voigt's notation, reduced form of the stress tensor 1.3.2.5.1. Voigt's notation, reduced form of the stress tensor We shall use frequently the notation due to Voigt (1910) in order to express the components of the stress tensor: It should be noted that the conventions are different for the Voigt ...
Voigt's notation - interpretation of the components of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.5, p. 78 [ doi:10.1107/97809553602060000902 ]
... of the stress tensor | | (i) Uniaxial stress: let us consider a solid shaped like a parallelepiped whose faces are normal to three orthonormal axes (Fig. ... correspond to uniaxial stresses on these faces. If there is a single uniaxial stress, the tensor is of the form ...
Symmetry of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.4, pp. 77-78 [ doi:10.1107/97809553602060000902 ]
... into account the continuity condition (1.3.2.5), this equation reduces to A volume couple can occur for instance in the case of a magnetic or an electric field acting on a body that locally possesses magnetic or electric moments. In ...
Condition of continuity
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.3, p. 77 [ doi:10.1107/97809553602060000902 ]
Condition of continuity 1.3.2.3. Condition of continuity Let us return to equation (1.3.2.1) expressing the equilibrium condition for the resultant of the forces. By replacing by the expression (1.3.2.4), we get, after projection on the three axes, where and the inertial forces are included in the volume forces. Applying Green's ...
Definition of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.2, pp. 76-77 [ doi:10.1107/97809553602060000902 ]
... orientation of the normal n and of the components of a rank-two tensor. Let P be a point situated inside volume V, , and three orthonormal axes, and consider a plane of arbitrary orientation that cuts the three axes ...
General conditions of equilibrium of a solid
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.1, p. 76 [ doi:10.1107/97809553602060000902 ]
General conditions of equilibrium of a solid 1.3.2.1. General conditions of equilibrium of a solid Let us consider a solid C, in movement or not, with a mass ...
International Tables for Crystallography (2013). Vol. D, Section 1.3.2, pp. 76-80 [ doi:10.1107/97809553602060000902 ]
... tensor 1.3.2. Stress tensor 1.3.2.1. General conditions of equilibrium of a solid | | Let us consider a solid C, in movement or not, with a mass distribution defined by a specific mass [rho] at ...
Local properties of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.7, p. 79 [ doi:10.1107/97809553602060000902 ]
... tensor (i) Normal stress and shearing stress: let us consider a surface area element d[sigma] within the solid, the normal ... stress quadric, where . It may be an ellipsoid or a hyperboloid. Referred to the principal axes, and using Voigt's ... quadric (Fig. 1.3.2.7) through the relation The stress applied to a small surface element d[sigma] normal to n, , is ...
Boundary conditions
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.6, pp. 78-79 [ doi:10.1107/97809553602060000902 ]
... the surface. If C is subjected from the outside to a distribution of stresses (apart from the volume forces mentioned earlier ...
Interpretation of the components of the stress tensor - special forms of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.5.2, p. 78 [ doi:10.1107/97809553602060000902 ]
... of the stress tensor (i) Uniaxial stress: let us consider a solid shaped like a parallelepiped whose faces are normal to three orthonormal axes (Fig. ... correspond to uniaxial stresses on these faces. If there is a single uniaxial stress, the tensor is of the form ...
Voigt's notation, reduced form of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.5.1, p. 78 [ doi:10.1107/97809553602060000902 ]
Voigt's notation, reduced form of the stress tensor 1.3.2.5.1. Voigt's notation, reduced form of the stress tensor We shall use frequently the notation due to Voigt (1910) in order to express the components of the stress tensor: It should be noted that the conventions are different for the Voigt ...
Voigt's notation - interpretation of the components of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.5, p. 78 [ doi:10.1107/97809553602060000902 ]
... of the stress tensor | | (i) Uniaxial stress: let us consider a solid shaped like a parallelepiped whose faces are normal to three orthonormal axes (Fig. ... correspond to uniaxial stresses on these faces. If there is a single uniaxial stress, the tensor is of the form ...
Symmetry of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.4, pp. 77-78 [ doi:10.1107/97809553602060000902 ]
... into account the continuity condition (1.3.2.5), this equation reduces to A volume couple can occur for instance in the case of a magnetic or an electric field acting on a body that locally possesses magnetic or electric moments. In ...
Condition of continuity
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.3, p. 77 [ doi:10.1107/97809553602060000902 ]
Condition of continuity 1.3.2.3. Condition of continuity Let us return to equation (1.3.2.1) expressing the equilibrium condition for the resultant of the forces. By replacing by the expression (1.3.2.4), we get, after projection on the three axes, where and the inertial forces are included in the volume forces. Applying Green's ...
Definition of the stress tensor
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.2, pp. 76-77 [ doi:10.1107/97809553602060000902 ]
... orientation of the normal n and of the components of a rank-two tensor. Let P be a point situated inside volume V, , and three orthonormal axes, and consider a plane of arbitrary orientation that cuts the three axes ...
General conditions of equilibrium of a solid
International Tables for Crystallography (2013). Vol. D, Section 1.3.2.1, p. 76 [ doi:10.1107/97809553602060000902 ]
General conditions of equilibrium of a solid 1.3.2.1. General conditions of equilibrium of a solid Let us consider a solid C, in movement or not, with a mass ...
Page: 1 2 Next | powered by |