Non-destructive testing of composites is an important issue in the modern aircraft industry.Composites are susceptible to the barely visible impact damage which can affect the residual strength of the material and occ...Non-destructive testing of composites is an important issue in the modern aircraft industry.Composites are susceptible to the barely visible impact damage which can affect the residual strength of the material and occurs both during production and operation.The continuum model for describing the damaged zone is presented.The slip theory relations used for a continuous distribution of slip planes are applied.At the initial stage,the isotropic background model is used.This model allows the material slippage along the fractures based on the Coulomb friction law with the small viscous addition.In this regime,the govern system of equations becomes rigid.To overcome this difficulty,the explicit-implicit grid-characteristic scheme is proposed.The standard ultrasound diagnostic procedure of damaged composite materials is successfully simulated.Compared with the trivial free-surface fracture model,different reactions on the compression and stretch waves are registered.This approach provided an effective way for the simulation of complex dynamic behavior of damage zones.展开更多
讨论组合网格法(Composite Grid Method,CGM)在有限元程序自动生成系统平台(Finite Element Program Generator,FEPG)上的具体实现。该算法在整个求解区域上采用粗细两套网格求解,不要求规则网格和粗细两套网格嵌套,两套网格单独剖分、...讨论组合网格法(Composite Grid Method,CGM)在有限元程序自动生成系统平台(Finite Element Program Generator,FEPG)上的具体实现。该算法在整个求解区域上采用粗细两套网格求解,不要求规则网格和粗细两套网格嵌套,两套网格单独剖分、互不影响,能处理复杂的问题。该算法用于实际工程计算的迭代次数少,与常用的有限元方法所求得的解相符合,具有更加广泛的应用范围,符合科学和工程计算的实际要求。对搅拌摩擦焊接问题使用组合网格法进行数值模拟,取得了理想的仿真结果。展开更多
An object-oriented approach is taken to the problem of formulating portable, easy-to-modify PDE solvers for realistic problems in three space dimensions. The resulting software library, Cogito, contains tools for writ...An object-oriented approach is taken to the problem of formulating portable, easy-to-modify PDE solvers for realistic problems in three space dimensions. The resulting software library, Cogito, contains tools for writing programs to be executed on MIMD computers with distributed memory. Difference methods on composite, structured grids are supported. Most of the Cogito classes have been implemented in Fortran 77, in such a way that the object-oriented design is visible. With respect to parallel performance, these tools yield code that is comparable to parallel solvers written in plain Fortran 77. The resulting programs are can be executed without modification on a large number of multicomputer platforms, and also on serial computers. The uppermost level of abstraction in Cogito concerns the problem of decoupling the numerical method from the PDE problem. The validity of these tools has been preliminarily demonstrated with a C++ implementation for one-dimensional problems.展开更多
基金the financial support of the Russian Science Foundation(No.19-71-10060)。
文摘Non-destructive testing of composites is an important issue in the modern aircraft industry.Composites are susceptible to the barely visible impact damage which can affect the residual strength of the material and occurs both during production and operation.The continuum model for describing the damaged zone is presented.The slip theory relations used for a continuous distribution of slip planes are applied.At the initial stage,the isotropic background model is used.This model allows the material slippage along the fractures based on the Coulomb friction law with the small viscous addition.In this regime,the govern system of equations becomes rigid.To overcome this difficulty,the explicit-implicit grid-characteristic scheme is proposed.The standard ultrasound diagnostic procedure of damaged composite materials is successfully simulated.Compared with the trivial free-surface fracture model,different reactions on the compression and stretch waves are registered.This approach provided an effective way for the simulation of complex dynamic behavior of damage zones.
文摘讨论组合网格法(Composite Grid Method,CGM)在有限元程序自动生成系统平台(Finite Element Program Generator,FEPG)上的具体实现。该算法在整个求解区域上采用粗细两套网格求解,不要求规则网格和粗细两套网格嵌套,两套网格单独剖分、互不影响,能处理复杂的问题。该算法用于实际工程计算的迭代次数少,与常用的有限元方法所求得的解相符合,具有更加广泛的应用范围,符合科学和工程计算的实际要求。对搅拌摩擦焊接问题使用组合网格法进行数值模拟,取得了理想的仿真结果。
文摘An object-oriented approach is taken to the problem of formulating portable, easy-to-modify PDE solvers for realistic problems in three space dimensions. The resulting software library, Cogito, contains tools for writing programs to be executed on MIMD computers with distributed memory. Difference methods on composite, structured grids are supported. Most of the Cogito classes have been implemented in Fortran 77, in such a way that the object-oriented design is visible. With respect to parallel performance, these tools yield code that is comparable to parallel solvers written in plain Fortran 77. The resulting programs are can be executed without modification on a large number of multicomputer platforms, and also on serial computers. The uppermost level of abstraction in Cogito concerns the problem of decoupling the numerical method from the PDE problem. The validity of these tools has been preliminarily demonstrated with a C++ implementation for one-dimensional problems.
