Finite Geometrically Similar Element Method for Dynamic Problem of a Cracked Specimen

You Tang Li; Ping Ma; Yao Bing Wei

doi:10.4028/www.scientific.net/AMR.33-37.375

Paper Titles

Research on Mode I and Mode II Dynamic Fracture in High Strength Steels under High Loading Rates
p.351

Effect on Dynamic Biaxial Fracture Behaviors by Different Heat Treatments on Magnesium Alloy
p.357

Numerical Solution of Elas-Plastic Impact Load of Tube Column
p.363

Hierarchical Adaptive Mesh for FEM Simulations of Ultra High-Speed Impact Problem
p.369

Finite Geometrically Similar Element Method for Dynamic Problem of a Cracked Specimen
p.375

Evaluation and Characterization of Plastics-Made Sheet Type Components under Impact
p.381

Behavior of Thin-Walled Square Tube and Tubular Hat Sections Subjected to Low Velocity Impact Loading
p.387

Analysis of the Anti-Bird Impact Performance of Typical Beam-Edge Structure Based on ANSYS/LS-DYNA
p.395

Study of Initiator’s Shock-Resistibility Through Impact Using Hopkinson Pressure Bar
p.401

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 33-37Finite Geometrically Similar Element Method for...

Finite Geometrically Similar Element Method for Dynamic Problem of a Cracked Specimen

Abstract:

A group of geometrically similar elements is automatically generated layer by layer around the tip of crack. By taking advantage of the same stiffness and similar mass of similarly shaped elements, the combined stiffness matrix and combined inertia matrix in area can be expressed by the displacement row matrix of outer polygon. The global stiffness matrix will be obtained if the combined stiffness matrix and combined inertia matrix of area are assembled to those of another elements according to corresponding nodes. The small set of generalized coordinates can be obtained through solving the equation, and then the dynamic stress intensity factor of crack will be obtained. The three points bending with single crack and shearing model with double cracks in explosive loading were calculated with finite geometrically similar element method.