Multi-scale modelling and canonical dual finite element method in phase transitions of solids
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Publication:837350
DOI10.1016/j.ijsolstr.2007.08.027zbMath1169.74518OpenAlexW1966589886MaRDI QIDQ837350
Publication date: 10 September 2009
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2007.08.027
energy methodfinite element methodphase transitionsvariational principleduality theorymulti-scale modellingLandau-Ginzburg equation
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Cites Work
- Unnamed Item
- Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem
- Variational methods in theoretical mechanics. 2nd ed
- Variational principles in finite elastostatics
- Applications of variational principles in finite elasticity
- Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications
- Duality principles in nonconvex systems. Theory, methods and applications
- General analytic solutions and complementary variational principles for large deformation nonsmooth mechanics
- On dual configurational forces
- Solutions and optimality criteria to box constrained nonconvex minimization problems
- A new variational principle for finite elastic displacements
- Geometric nonlinearity: potential energy, complementary energy, and the gap function
- Complementary Principle, Algorithm, and Complete Solutions to Phase Transitions in Solids Governed by Landau-Ginzburg Equation
- A note on variational theorems in non-linear elastostatics
- Inequalities associated with the inversion of elastic stress-deformation relations and their implications
- Duality, triality and complementary extremum principles in non-convex parametric variational problems with applications
- Complementarity, polarity and triality in non‐smooth, non–convex and non–conservative Hamilton systems
- Perfect duality theory and complete solutions to a class of global optimization problems*
- On a Variational Theorem for Finite Elastic Deformations
- Canonical dual transformation method and generalized triality theory in nonsmooth global optimization
- Nonsmooth/ nonconvex mechanics. Modeling, analysis and numerical methods. A volume dedicated to the memory of Prof. P. D. Panagiotopoulos. Minisymposium within the ASME 1999 Mechanics and materials conference, Blacksburg, VA, USA, June 27--30, 1999
