[BOOK][B] Nonlinear partial differential equations with applications
T Roubíček - 2013 - books.google.com
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …
differential equations, inequalities, and systems. The exposition leads the reader through the …
Recent developments in the modeling, analysis, and numerics of ferromagnetism
Micromagnetics is a continuum variational theory describing magnetization patterns in
ferromagnetic media. Its multiscale nature due to different inherent spatiotemporal physical …
ferromagnetic media. Its multiscale nature due to different inherent spatiotemporal physical …
Rate-independent systems
Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
Evolution of rate-independent systems
A Mielke - Handbook of differential equations: Evolutionary …, 2005 - Elsevier
Rate-independent systems occur as limit problems in many physical and mechanical
problems if the interesting time scales are much longer than the intrinsic time scales in the …
problems if the interesting time scales are much longer than the intrinsic time scales in the …
Non–convex potentials and microstructures in finite–strain plasticity
A mathematical model for a finite–strain elastoplastic evolution problem is proposed in
which one time–step of an implicit time–discretization leads to generally non–convex …
which one time–step of an implicit time–discretization leads to generally non–convex …
Quasistatic crack growth in nonlinear elasticity
GD Maso, GA Francfort, R Toader - Archive for Rational Mechanics and …, 2005 - Springer
In this paper, we prove a new existence result for a variational model of crack growth in
brittle materials proposed in [19]. We consider the case of n-dimensional nonlinear elasticity …
brittle materials proposed in [19]. We consider the case of n-dimensional nonlinear elasticity …
Quasistatic evolution problems for linearly elastic–perfectly plastic materials
The problem of quasistatic evolution in small strain associative elastoplasticity is studied in
the framework of the variational theory for rate-independent processes. Existence of …
the framework of the variational theory for rate-independent processes. Existence of …
[PDF][PDF] Existence results for energetic models for rate-independent systems
A Mainik, A Mielke - Calculus of Variations and Partial Differential …, 2005 - wias-berlin.de
We consider mechanical models which are driven by an external loading on a time scale
much slower than any internal time scale (like viscous relaxation times) but still much faster …
much slower than any internal time scale (like viscous relaxation times) but still much faster …
Existence results for a class of rate-independent material models with nonconvex elastic energies
G Francfort, A Mielke - 2006 - degruyter.com
Introduction In mechanics, rate-independent evolutionary problems have always played an
important role, eg, in Coulomb friction or in perfect plasticity. The intrinsic nonsmoothness …
important role, eg, in Coulomb friction or in perfect plasticity. The intrinsic nonsmoothness …
Energetic formulation of multiplicative elasto-plasticity using dissipation distances
A Mielke - Continuum Mechanics and Thermodynamics, 2003 - Springer
We introduce a new energetic formulation for the inelastic rate-independent behavior of
standard generalized materials. This formulation is solely based on the classical elastic …
standard generalized materials. This formulation is solely based on the classical elastic …