A homogeneous deformation is one where the deformation gradient tensor is independent of the coordinates. From: Continuum Mechanics Modeling of Material Behavior, 2019 About this pageSet alert On this page Definition Chapters and Articles Related Terms Recommended Publications Chapters and Articles You mig...
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theory of deformation, motion of deformable medium and equations of motion of each moleculedisplacement vector gradient and tensor quantityvolume element rotation and displacement gradientssmall strains' theory and small angles of rotationcompatibility conditions of classical theory of small displacements...
APPENDIX C: OUT-OF-BALANCE FORCES AND TANGENT STIFFNESS MATRIX We provide here expressions for the gradient and the Hessian of the potential energy. With a view on the implementation, we resort to Voigt's notation for symmetric tensors. To keep the notation clean, depending on the context, ...
Step 1: Determine relevant parameters, particle swarm size, the maximum number of iterations, linear inertia weight, acceleration coefficient, target accuracy, RBF hidden layer node number, and gradient descent selection probability. Step 2: Determine the initial distribution interval of particle position...
The diffu- sion and drift of jet partons propagating in a nonuniform QGP medium have lead to the study of gradient tomography of jet quenching. Also the results from the leading corrections to jet momentum broadening and medium-induced branching, arising from the velocity of a moving medium ...
After that, a numerical example of a cylinder with variant concentration distribution on its cylindrical surface was given, the results showed that concentration gradient distribution would cause the generation of stresses and the value of stresses positive correlated to the concentration gradient....
G is the thermal gradient G = |∇ T |, V = Vbcosθ is the solidification velocity related to the laser movement Vb in the planar direction and θ is the angle between the two vectors. When the ratio Gn/V is above a critical value, columnar grain growth will occur. ...
Similarly, the total stress tensor of the FRPES material is a sum of the individual stress tensors(2)σtot,FRPES=∑i=1totfσf,i+σnf-ΔπI-μfI+TcI,where Δπ is the swelling pressure gradient, µf is the electrochemical potential of water and Tc is the chemical expansion stress....
GRADIENTA self-similar solution of the problem of the uniform heating of an elastic cone of transversally isotropic material with curvilinear cylindrical anisotropy is obtained in a cylindrical system of coordinates. It is assumed that the cone has a small vertex angle. A solution of the problem ...