An integrated approach for all necessary variations within direct analysis, variational design sensitivity analysis and shakedown analysis based on Melan’s static shakedown theorem for linear unlimited kinematic hardening material behavior is formulated. Remarks on the computer implementation and numerical examples show the efficiency of the proposed formulation. Important effects of shakedown ...

X-ray diffraction measurement in the bulk of engineering components allows evaluation of lattice spacing variation by application of Bragg law and hence, by comparison with a strain-free reference specimen, computation of elastic strains and stresses. Diffraction peak position is related to average elastic strain within the scattering grains, whilst diffraction peak shape is related to crystall...

A mathematical theory of time-dependent dislocation mechanics of unrestricted geometric and material nonlinearity is reviewed. Within a ‘small deformation’ setting, a suite of simplified, but interesting, models, namely a nonlocal Ginzburg Landau, a nonlocal level set, and a nonlocal generalized Burgers equation are derived. In the finite deformation setting, it is shown that an additive decomp...

Experimental observations of an increase in resistance with decreasing specimen size and under the presence of non-uniform plastic deformation fields have pushed the development for small scale plasticity theories since the early 90’s. The observed phenomenon has been explained in terms of an accumulation of a density of geometrically necessary dislocations, which is required in order to accomm...

A study is made into the effect of the critical current density dependence upon the value of plastic strain on the critical state stability in hard and composite superconductors under conditions of plastic yield of the material. There have been found criteria of the critical state stability relative to the jointly developing magnetic flux jumps and plastic strain jerks.

an evolutionary structural optimization (eso) method is used for plastic design of frames. based on safe theorems some criteria are derived and made an effort to satisfy them during the optimization process. in this regard, equilibrium is checked and yield condition is gradually satisfied during the optimization process. in this method, the amount of used material and the stiffness for each ele...

An incubator designed for use inside an anaerobic glove box is described. The incubator is made of transparent plastic material, has sliding plastic doors, and can be made in various sizes from readily available materials.

thermo-elasto-plastic analyses of thick-walled spherical tanks made of functionally graded materials are investigated analytically. these tanks are subjected to positive or negative temperature gradient and internal pressure loadings separately or simultaneously. the power law modeling has been used for through-the-thickness variation of mechanical properties. von mises yield criterion and elas...