137614516
The Shear Center in Creep of Beams of Thin-walled Open Cross Section
It is shown that in the case of creep bending of beams of thin-walled open cross section, in general, the neutral axes do not intersect at one point and that the concept of the shear center fails. The shear center is replaced by a family of straight lines such that when the plane of bending passes through such a straight line the cross section will suffer no torsion. These torsionfree axes do not intersect at one point except in special cases. The family of the neutral axes and the family of the torsionfree axes correspond to each other and they depend on the magni tudes of the bending moment and shearing force. When the creep law has the form σ = A e n the two families are independent of the magnitudes of the bending moment and shearing force. The implication of this result is that for torsionfree bending of a beam to be possible it is necessary to have the above creep law. Exceptions to this result are discussed. Expressions useful for the calculation of the two families of straight lines are given.
122790574
The Mechanical Equation of State in Nonisothermal Plastic Deformation
135804794
The Foundations of Thermoplasticity - Experiments and Theory
Thermoplasticity deals with the interaction between temperature, stress and plastic deformation due to either a stress increment, or a temperature change, or to a combination of a stress increment and a change in temperature. As in the case of isothermal plasticity the concepts of the yield surface and of the plastic strain rate are of fundamental importance. The yield surface and the plastic strain rate are now functions of the temperature in addition to being functions of the other variables which appear in isothermal plasticity.
119387738
Submersions of open manifolds
A trigonometer uses a protractor and a pointer arm pivoted to a selected angle on a protractor. An idler arm pivots in parallel with the pointer arm and is joined to the pointer arm by a connector arm. A sine bar is supported in mounts on the pointer arm and idler arm, slidable relative to the sine bar and a cosine bar perpendicular to the sine bar is connected to the sign bar and slidably supported in fixed mounts. A cosine scale indicates the cosine of the angle of the pointer arm as the position of the cosine bar relative to one of its support mounts, and a sine scale indicates the sine of the angle of the pointer arm as the position of one of the sine bar support mounts relative to the sine bar. Hence, the inventive automatic sine-cosine Trigonometer is an instrument for measuring the sine and cosine in thousands of an inch of any angle from 0 DEG to 45 DEG automatically.
30865464
Smooth maps transverse to a foliation
122749955
Foliations on open manifolds, II