Explicit and implicit methods for shear band modeling at high strain rates
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DOI: 10.1007/s00466-018-1612-7
Abstract: High strain rate loading of metals typically leads to material instabilities known as shear bands. These are narrow bands of intense plastic deformation that weaken the load bearing capacity of the material and serve as… read more here.
Keywords: shear band; implicit methods; high strain; methods shear ... See more keywords
Multi-Implicit Methods with Automatic Error Control in Applications with Chemical Reactions
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DOI: 10.1134/s0965542519090161
Abstract: Multi-implicit methods with a second derivative for stiff systems of ordinary differential equations are described. An algorithm for automatic step size control and selection based on multi-implicit methods of the eighth and sixth orders of… read more here.
Keywords: methods automatic; implicit methods; control; automatic error ... See more keywords
The constraint-stabilized implicit methods on Lie group for differential-algebraic equations of multibody system dynamics
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DOI: 10.1177/1687814019842406
Abstract: The implicit methods on Lie group are developed for multibody system dynamics. To avoid the violation of the displacement, velocity and acceleration constraints of the nonlinear differential-algebraic equations, the constraint-stabilized equations on Lie group are… read more here.
Keywords: lie group; constraint stabilized; implicit methods; group ... See more keywords