This paper presents a pure complementary energy variational method for solving a general anti-plane shear problem in finite elasticity. Based on the canonical duality–triality theory developed by the author, the nonlinear/nonconvex partial differential equations for the large deformation problem are converted into an algebraic equation in dual space, which can, in principle, be solved to obtain a complete set of stress solutions. Therefore, a general analytical solution form of the deformation is obtained subjected to a compatibility condition. Applications are illustrated by examples with both convex and nonconvex stored strain energies governed by quadratic-exponential and power-law material models, respectively. Results show that the non...
summary:A weak solution to the boundary-value problems both in the Mindlin's theory of elasticity wi...
An interpretation for computational solution is given for a new global extremum principle that model...
summary:A weak (generalized) solution to the boundary-value problems in Cosserat continuum is define...
This paper presents a pure complementary energy variational method for solving a general anti-plane ...
This paper presents a detailed study on analytical solutions to a general nonlinear boundary-value p...
Abstract. This paper presents a nonlinear dual transformation method and general complementary energ...
This paper addresses some fundamental issues in nonconvex analysis. By using pure complementary ener...
Canonical duality theory (CDT) is a newly developed, potentially powerful methodological theory whic...
AbstractThe mechanically-based approach to non-local elastic continuum, will be captured through var...
Non-convex variational/boundary-value problems are studied using a modified version of the Ericksen ...
Presented is the numerical analysis of plane elastic problems involving stress concentrations and/or...
Canonical duality-triality is a breakthrough methodological theory, which can be used not only for m...
This note gives a necessary and sufficient condition that a compressible, isotropic elastic material...
A mixed variational principle based on a bilinear material model and on complementary potential ener...
The complementary variational problem is studied for thin elastic shells undergoing large deflection...
summary:A weak solution to the boundary-value problems both in the Mindlin's theory of elasticity wi...
An interpretation for computational solution is given for a new global extremum principle that model...
summary:A weak (generalized) solution to the boundary-value problems in Cosserat continuum is define...
This paper presents a pure complementary energy variational method for solving a general anti-plane ...
This paper presents a detailed study on analytical solutions to a general nonlinear boundary-value p...
Abstract. This paper presents a nonlinear dual transformation method and general complementary energ...
This paper addresses some fundamental issues in nonconvex analysis. By using pure complementary ener...
Canonical duality theory (CDT) is a newly developed, potentially powerful methodological theory whic...
AbstractThe mechanically-based approach to non-local elastic continuum, will be captured through var...
Non-convex variational/boundary-value problems are studied using a modified version of the Ericksen ...
Presented is the numerical analysis of plane elastic problems involving stress concentrations and/or...
Canonical duality-triality is a breakthrough methodological theory, which can be used not only for m...
This note gives a necessary and sufficient condition that a compressible, isotropic elastic material...
A mixed variational principle based on a bilinear material model and on complementary potential ener...
The complementary variational problem is studied for thin elastic shells undergoing large deflection...
summary:A weak solution to the boundary-value problems both in the Mindlin's theory of elasticity wi...
An interpretation for computational solution is given for a new global extremum principle that model...
summary:A weak (generalized) solution to the boundary-value problems in Cosserat continuum is define...