An analytical model for the propagation of combined stress waves in a functionally graded thin-walled tube subjected to combined longitudinal and torsional impact loading is established.The material properties of the ...An analytical model for the propagation of combined stress waves in a functionally graded thin-walled tube subjected to combined longitudinal and torsional impact loading is established.The material properties of the tube are assumed to be continuously graded along the length according to a power law function with respect to the volume fractions of the constituents.The generalized characteristic theory is used to analyze the main features of the characteristic wave speeds and simple wave solutions in the functionally graded thin-walled tube.The finite difference method is used to discretize the governing equations.Two types of typical solutions are obtained for the functionally graded tube and the homogeneous tube subjected to combined longitudinal and torsional step loading.The numerical results reveal some abnormal phenomena in the stress path and wave process of the functionally graded thin-walled tube.展开更多
This investigation focused on the influence of the radial inertia effect on the propagation behavior of stress waves in thin-walled tubes subjected to combined longitudinal and torsional impact loads.Generalized chara...This investigation focused on the influence of the radial inertia effect on the propagation behavior of stress waves in thin-walled tubes subjected to combined longitudinal and torsional impact loads.Generalized characteristics theory was used to analyze the main features of the characteristic wave speeds and simple wave solutions in thin-walled tubes.The incremental elastic-plastic constitutive relations described by the rate-independent plasticity were adopted,and the finite difference method was used to investigate the evolution and propagation behaviors of combined elasticplastic stress waves in thin-walled tubes when the radial inertial effect was considered.The numerical results were compared with those obtained when the radial inertia effect was not considered.The results showed that the speed of the coupled stress wave increased when the radial inertia effect was considered.The hardening modulus of the material in the plastic stage had a greater impact on the coupled slow waves than on the coupled fast waves.展开更多
This paper investigates the critical buckling behavior of axially functionally graded(FG)material beams with three end support conditions.The FG materials are assumed to have continuously graded based on a power-law f...This paper investigates the critical buckling behavior of axially functionally graded(FG)material beams with three end support conditions.The FG materials are assumed to have continuously graded based on a power-law function of the volume fractions of the constituents.The governing equation for buckling is derived and solved using the differential quadrature(DQ)method.A comparison between the results obtained from the DQ method and the analytical approach reveals excellent agreement.The effects of various parameters,such as the gradient index and boundary conditions,on the critical buckling load is thoroughly analyzed.The findings highlight the efficiency and accuracy of the DQ method for analyzing functionally graded beams.Moreover,the insights gained from this study can inform the design and optimization of functionally graded structures.展开更多
文摘An analytical model for the propagation of combined stress waves in a functionally graded thin-walled tube subjected to combined longitudinal and torsional impact loading is established.The material properties of the tube are assumed to be continuously graded along the length according to a power law function with respect to the volume fractions of the constituents.The generalized characteristic theory is used to analyze the main features of the characteristic wave speeds and simple wave solutions in the functionally graded thin-walled tube.The finite difference method is used to discretize the governing equations.Two types of typical solutions are obtained for the functionally graded tube and the homogeneous tube subjected to combined longitudinal and torsional step loading.The numerical results reveal some abnormal phenomena in the stress path and wave process of the functionally graded thin-walled tube.
文摘This investigation focused on the influence of the radial inertia effect on the propagation behavior of stress waves in thin-walled tubes subjected to combined longitudinal and torsional impact loads.Generalized characteristics theory was used to analyze the main features of the characteristic wave speeds and simple wave solutions in thin-walled tubes.The incremental elastic-plastic constitutive relations described by the rate-independent plasticity were adopted,and the finite difference method was used to investigate the evolution and propagation behaviors of combined elasticplastic stress waves in thin-walled tubes when the radial inertial effect was considered.The numerical results were compared with those obtained when the radial inertia effect was not considered.The results showed that the speed of the coupled stress wave increased when the radial inertia effect was considered.The hardening modulus of the material in the plastic stage had a greater impact on the coupled slow waves than on the coupled fast waves.
文摘This paper investigates the critical buckling behavior of axially functionally graded(FG)material beams with three end support conditions.The FG materials are assumed to have continuously graded based on a power-law function of the volume fractions of the constituents.The governing equation for buckling is derived and solved using the differential quadrature(DQ)method.A comparison between the results obtained from the DQ method and the analytical approach reveals excellent agreement.The effects of various parameters,such as the gradient index and boundary conditions,on the critical buckling load is thoroughly analyzed.The findings highlight the efficiency and accuracy of the DQ method for analyzing functionally graded beams.Moreover,the insights gained from this study can inform the design and optimization of functionally graded structures.
