In this work,the types of shock wave structure for hydro-elastoplastic model under compression are researched.The emphasis focuses on the theory of shock transition in the presence of elastic-plastic-fluid phase trans...In this work,the types of shock wave structure for hydro-elastoplastic model under compression are researched.The emphasis focuses on the theory of shock transition in the presence of elastic-plastic-fluid phase transition.As a result,in addition to the classical three-wave structure,two new shock wave patterns are found with the increase of loading strength.Several numerical tests are presented to verify the existence of the three types of wave structure.展开更多
We propose a robust approximate solver for the hydro-elastoplastic solid material,a general constitutive law extensively applied in explosion and high speed impact dynamics,and provide a natural transformation between...We propose a robust approximate solver for the hydro-elastoplastic solid material,a general constitutive law extensively applied in explosion and high speed impact dynamics,and provide a natural transformation between the fluid and solid in the case of phase transitions.The hydrostatic components of the solid is described by a family of general Mie-Gruneisen equation of state(EOS),while the deviatoric component includes the elastic phase,linearly hardened plastic phase and fluid phase.The approximate solver provides the interface stress and normal velocity by an iterative method.The well-posedness and convergence of our solver are proved with mild assumptions on the equations of state.The proposed solver is applied in computing the numerical flux at the phase interface for our compressible multi-medium flow simulation on Eulerian girds.Several numerical examples,including Riemann problems,shock-bubble interactions,implosions and high speed impact applications,are presented to validate the approximate solver.展开更多
基金supported by the China Postdoctoral Science Foundation(No.2022M722185)the Guangdong Basic and Applied Basic Research Foundation(No.2022A1515110521)+1 种基金the National Natural Science Foundation of China(Nos.12302377 and 11972330)the Foundation of Laboratory of Computation Physics(No.6142A05RW202211).
文摘In this work,the types of shock wave structure for hydro-elastoplastic model under compression are researched.The emphasis focuses on the theory of shock transition in the presence of elastic-plastic-fluid phase transition.As a result,in addition to the classical three-wave structure,two new shock wave patterns are found with the increase of loading strength.Several numerical tests are presented to verify the existence of the three types of wave structure.
基金supports provided by the National Natural Science Foundation of China(Grant Nos.91630310,11421110001,and 11421101)and Science Challenge Project(No.TZ 2016002).
文摘We propose a robust approximate solver for the hydro-elastoplastic solid material,a general constitutive law extensively applied in explosion and high speed impact dynamics,and provide a natural transformation between the fluid and solid in the case of phase transitions.The hydrostatic components of the solid is described by a family of general Mie-Gruneisen equation of state(EOS),while the deviatoric component includes the elastic phase,linearly hardened plastic phase and fluid phase.The approximate solver provides the interface stress and normal velocity by an iterative method.The well-posedness and convergence of our solver are proved with mild assumptions on the equations of state.The proposed solver is applied in computing the numerical flux at the phase interface for our compressible multi-medium flow simulation on Eulerian girds.Several numerical examples,including Riemann problems,shock-bubble interactions,implosions and high speed impact applications,are presented to validate the approximate solver.
