TY - JOUR
T1 - Modelling and Analysis of a Class of Metal-Forming Problems
AU - Angelov , T. A.
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 722
EP - 745
PY - 2010
DA - 2010/02
SN - 2
DO - http://doi.org/10.4208/aamm.09-m0975
UR - https://global-sci.org/intro/article_detail/aamm/8357.html
KW - 
AB - <p style="text-align: justify;">A class of steady-state metal-forming problems, with rigid-plastic, incompressible,
strain-rate dependent material model and nonlocal Coulomb&#39;s friction, is considered.
Primal, mixed and penalty variational formulations, containing variational inequalities
with nonlinear and nondifferentiable terms, are derived and studied. Existence, uniqueness
and convergence results are obtained and shortly presented. A priori finite element error
estimates are derived and an algorithm, combining the finite element and secant-modulus
methods, is utilized to solve an illustrative extrusion problem.</p>