Sentence examples for non-linear solutions from inspiring English sources
Analyses of the strain energy release rate were developed with taking into account the material non-linearity in order to verify the J-integral non-linear solutions derived.
Moreover, fully consistent non-linear solutions can be obtained in a reasonable amount of time because of the effective lack of statistical noise.
The present formulation will enable us to describe the complete non-linear solutions, namely the critical pressures (bifurcation and limit (collapse) loads), the bifurcation modes and the bifurcated equilibrium branches up to advanced post-critical states.
The numerical problem, reflected in the failure of convergence in the non-linear solutions in ABAQUS, is likely to happen when a smaller non-coaxial plastic modulus is used.
A complete analysis of all the possible non-linear solutions without damping leads to the possibility of characterizing the most appropriate conditions for the presence of the post-critical panel flutter limit cycles.
Some research results and analytical studies on non-linear solutions of suspension members of finite flexible stiffness with parabolic or similar shape provide simple methods for finding the static response of a hinge-suspended member to applied vertical loads in the elastic range.
A crucial step in the implementation of the LTL method is to arrive at a conditionally linearized solution which is then made to transversally intersect the non-linear solution manifold in the associated phase space.
The geometric non-linear solution requires a refined model to compute the stress-dependent Wagner coefficient.
To obtain the ultimate limit state of the structure, the arc-length method is introduced in the non-linear solution.
The properties of the equilibrium problem are examined using an approximate linear solution and an exact, non-linear solution.
To predict the resistance of structures or structural members by physically non-linear solution we need the strain-dependent tangent cross-sectional properties.
