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A quasi-principal axis frame means a unit orthogonal frame in which the shear strains are small. As an extension of Hill's principal axis method, we establish the approximate representations for various strains, the finite rotation tensor, spins, strain rates, conjugate stresses and their rates...
Experimental observations show that quasi-isotropic materials, such as N-axial fibre-reinforced composites and woven materials, exhibit various degrees of anisotropy in elasticity and strength, and the anisotropy in strength is normally stronger than that in elasticity. In view of some available...
Up to now, the analysis on anisotropic effects of quasi-isotropic composites to material structures has not been found in literatures. In the present paper the strength model for triaxial woven materials proposed in Part (I)
is applied to study the problems of an infinitely large plate of...
In this paper, the unilaterally constrained motions of a large class of rigid bodies systems are studied, both locally and globally. The main conclusion is that, locally, such a system bahaves like a particle in a Riemannian manifold with boundary; globally, under the assumption of energy...
The present paper spreads the principal axis intrinsic method to the high-dimensional case and discusses the solution of the tensor equation AX−XA=C.
In order to study the frictional contact problems of the elastoplastic beam theory, an extended two-dimensional beam model is established, and a second order nonlinear equilibrium problem with both internal and external complementarity conditions is proposed. The external complementarity...
Solid-solid phase transitions often exhibt hysteresis and to describe the hysteretic behavior we need internal variables. For shape memory single crystal under uni-axial tensile loading, the internal variable has been identified experimentally as the number of interfaces between the austenitic...
A linear bi-spatial tensor equation which contains many often encountered equations as particular cases is thoroughly studied. Explicit solutions are obtained. No conditions on eigenvalues of coefficient tensors are imposed.
In this paper the existence and regularity of solution to a nonlinear and nonautonomous multivalued parabolic equation, which represents some energy dissipative problems with nonlinear constitutive constraints and non-differential external constraints in physics, mechanics and optimization.
A new method for the construction of integrable Hamiltonian system is proposed. For a given Poisson manifold, the present paper constructs new Poisson brackets on it by making use of the Dirac-Poisson structure, and obtains further new integrable Hamiltonian systems. The constructed Poisson...
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