... and to apply it in ABAQUS. Design/methodology/approach The implicit integration algorithm based on the Newton–Raphson method and the closest point projection scheme containing an elastic predictor and plastic corrector are implemented in the AESE model. Then, the integration code for this model...

... problems. Δ X (n × 1) denotes incremental nodal displacements; and K _t (n × n) represents the structural tangent stiffness matrix. Newton–Raphson method Nonlinear analysis Three-point method Time complexity analysis Woodbury formula National...

.... Newton-Raphson method is applied to achieve linear equations from nonlinear equations. Simple HP-cloud method is used for the construction of the shape functions based on Kronecker-δ properties, so the essential boundary conditions can be enforced directly. Shepard function is utilized...

... extended to include isotropic damage and kinematic hardening. Within the computational scheme, the constitutive equations are numerically integrated by an algorithm based on operator split methodology (elastic predictor—plastic corrector). The Newton—Raphson method is used to solve...