Prediction of 42CrMo steel flow stress at high temperature and strain rate

The compressive deformation behavior of 42CrMo steel was investigated at temperatures ranging from 850 to 1150 °C and strain rates from 0.01 to 50 s⁻¹ on Gleeble-1500 thermo-simulation machine. Based on the classical stress–dislocation relation and the kinematics of the dynamic recrystallization, the flow stress constitutive equations of the work hardening-dynamical recovery period and dynamical recrystallization period were established for 42CrMo steel, respectively. The stress–strain curves of 42CrMo steel predicted by the established models are in good agreement with experimental results when the strain rate is relatively low. So, the proposed deformation constitutive equations can be used to establish the hot formation processing parameters for 42CrMo steel.     

钢筋混凝土开裂角软化薄膜模型

开裂角介于固定角和转动角之间,是裂缝实际的开展方向角.通过建立平衡方程、协调方程、钢筋和混凝土本构方程、泊松比效应系数方程,提出了钢筋混凝土开裂角软化薄膜模型,该模型考虑了拉应变与压应变的相互作用.本文还给出从应力到应变的计算方法,与传统从应变到应力的计算方法相比,该方法无须进行反复试算,计算简便.通过与8块钢筋混凝土薄板试验结果的比较,验证了所提出开裂角软化薄膜模型及其算法的正确性.     

Bending of an Anisotropic Elliptic Plate on an Elastic Foundation

An approach is proposed to solve a stress–strain problem for anisotropic rigidly fixed plates on an elastic foundation. The problem is solved by the method of successive approximations. At each approximation, the deflection is represented as polynomials whose coefficients are determined from a system of linear algebraic equations. Study is made of the influence of the reinforcement angle and the modulus of subgrade reaction on the deflections and the bending moments in an orthotropic plate.     

基于固定角软化桁架模型的钢筋混凝土

在固定角软化桁架模型的基础上,提出了钢筋混凝土构件在纯扭作用下的非线性分析方法。根据平衡条件、变形协调条件和材料本构关系,推导出16个方程,其中包含20个变量。而后根据扭转问题的特点,提出了求解这些方程的有效算法。该方法不仅可以预测受扭构件的极限强度,而且可以预测其开裂后的荷载-变形历史。通过对63个试件的计算验证,计算结果与试验结果吻合良好。     

Thermoelastoplastic Nonaxisymmetric Stress-Strain Analysis of Laminated Shells of Revolution

A technique for nonaxisymmetric thermoelastoplastic stress–strain analysis of laminated shells of revolution is developed. It is assumed that there is no slippage and the layers are not separated. The problem is solved using the geometrically linear theory of shells based on the Kirchhoff–Love hypotheses. The thermoplastic relations are written down in the form of the method of elastic solutions. The order of the system of partial differential equations obtained is reduced by means of trigonometric series in the circumferential coordinate. The systems of ordinary differential equations thus obtained are solved by Godunov's discrete-orthogonalization method. The nonaxisymmetric thermoelastoplastic stress–strain state of a two-layered shell is analyzed as an example     

Elastic Equilibrium of Circumferentially Inhomogeneous Orthotropic Cylindrical Shells of Arbitrary Thickness

An approach is proposed to determine the three-dimensional stress–strain state of hollow orthotropic cylinders with elastic characteristics variable in the circumferential direction. The solution of the problem is represented as a double Fourier series in the axial and circumferential coordinates. A resolving system of ordinary differential equations of high order is derived. An analysis is made of the stress state of a cylinder made of a composite with reinforcement density variable in the circumferential direction     

Short-Term Microdamageability of Fibrous Composites with Transversally Isotropic Fibers and a Microdamaged Binder

The theory of microdamageability of fibrous composites with transversally isotropic fibers and a microdamaged isotropic porous matrix is proposed. Microdamages in the matrix are simulated by pores filled with particles of the destroyed material that resist compression. The criterion of damage in the matrix microvolume is taken in the Schleicher–Nadai form. It accounts for the difference between the ultimate tensile and compressive loads. The ultimate strength is a random function of coordinates with Weibull distribution. The stress–strain state and effective properties of the material are determined from the stochastic equations of the elastic theory for a fibrous composite with porous components. The equations of deformation and microdamage are closed by the equations of porosity balance in the matrix. Nonlinear diagrams of the concurrent processes of deformation of fibrous materials and microdamage of the matrix are plotted. The effect of the physical and geometrical parameters on them is studied     

Theory of Short-Term Microdamageability of Granular Composite Materials

The theory of microdamageability of granular composites is outlined through the simulation of microdamages in the components by pores filled with compression-resisting particles of a destroyed material. The damage criterion for a microvolume of a component is taken in the Schleicher–Nadai form, which allows for the difference between the ultimate tensile and compressive loads. The ultimate strength is a random function of Weibull-distributed coordinates. The stress–strain state and the efficient properties of the material are determined from the stochastic equations of elastic theory for a granular composite with porous components. The equations of deformation and microdamage are closed by the equations of porosity balance in the components. Nonlinear diagrams of the concurrent processes of deformation in the granular material and microdamage in the matrix are plotted. The effect of the physical and geometrical parameters on them is studied     

Simulation of the Short-Term Microdamageability of Laminated Composites

The theory of microdamageability of multicomponent laminated composites is outlined through the simulation of microdamages in the components by pores filled with compression-resisting particles of the destroyed material. The damage criterion for a microvolume of a component is taken in the Schleicher–Nadai form, which allows for the difference between the ultimate tensile and compressive loads. The ultimate strength is a random function of Weibull-distributed coordinates. The stress–strain state and the efficient properties of the material are determined from the stochastic equations of the elastic theory for a laminated composite with porous components. The equations of deformation and microdamage are closed by the equations of porosity balance in the components. Nonlinear diagrams of the concurrent processes of deformation in the laminated material and microdamage in the matrix are plotted. The effect of the physical and geometrical parameters on them is studied     

The Micromechanics of Short-Term Damageability of Fibrolaminar Composites

A theory of microdamageability is constructed for fibrous laminated composites consisting of transversally isotropic fibers and a microdamaged isotropic porous binder. Microdamages in the binder are simulated by pores filled with compression-resisting particles of the destroyed material. Damage in a microvolume of the binder is described by the Schleicher–Nadai strength criterion, which allows for the difference between the ultimate tensile and compressive loads. The ultimate strength is a random function of coordinates with the Weibull distribution. The stress–strain state and effective characteristics of the material are determined by solving the stochastic equations of elastic theory for a fibrous laminated composite with a porous binder. The equations of deformation and microdamageability are closed by the equations of porosity balance in the binder. Nonlinear diagrams of the concurrent processes of deformation of the fibrous laminated material and microdamage of the matrix for various physical and geometrical parameters are constructed     

Elastic-plastic behaviour of dual-phase, high-strength steel under strain-path changes

The elastic-plastic behaviour of dual-phase, high-strength steel sheets under two-stage strain-path changes has been investigated. Three different loading sequences, namely monotonic, 45° tensile path changes and orthogonal tensile path changes complied by sequences of simple uniaxial tensile tests, were analysed at room temperature. From the experiments, it was found that there is a considerable reduction of the initial flow stress over the strain-path changes. The transient softening phenomenon is observed to be a function of orientation, and the period of the transient behaviour following the strain-path change is lengthened with the amount of pre-strain. A constitutive model is adopted that includes combined isotropic and kinematic hardening and is capable of describing the marked transient softening behaviour after the pre-straining. The experimental stress–strain behaviour subsequent to the strain path change is predicted with reasonable accuracy, while the model fails to accurately describe the transient, deformation-induced anisotropy in the plastic flow.     

Rolling of a Rigid Cylinder over a Half-Plane with Initial Stresses (Harmonic and Bartenev–Khazanovich Potentials)

An asymmetric quasistationary problem for a prestressed half-plane with harmonic and Bartenev–Khazanovich potentials is solved based of the linearized theory of elasticity. The Mehler–Fock integral transform is used to solve the differential equations that describe the stress–strain state of the half-plane. The dependences of the normal and tangential stresses and stress intensity factors on the elongation are plotted     

Short-Term Microdamageability of Laminated Materials under Thermal Actions

The theory of microdamageability of laminated materials is stated with account taken of the thermal effect. Microdamages in the components are simulated by pores empty or filled with particles of damaged material that resist compression. The fracture criterion is assumed to have the Nadai–Schleicher form, which takes into account the difference between the tensile and compressive ultimate loads, with the ultimate strength being a random function of coordinates with a power or Weibull distribution. The stress–strain state and the effective properties of the material are determined from the thermoelastic equations for laminated materials with porous components. The deformation and microdamage equations are closed by the equations of porosity balance corrected for the thermal effect. For various types of loading, nonlinear relations are derived for the coupled processes of deformation of a two-component laminated material and microdamage due to the thermal macrostrain of a component. The effect of physical and geometrical parameters on these processes is studied.     

Modelling mechanical property recovery of a linepipe steel in annealing process

In this paper a set of mechanism-based unified viscoplastic constitutive equations has been used to model the effect of microstructural evolution on mechanical property recovery in the annealing process of a cold formed linepipe steel. Dislocation density and plasticity-induced damage accumulation during deformation, and recovery and recrystallisation of the deformed material during subsequent annealing have been modelled. The effects of annealing time on microstructural evolution also have been investigated. Tensile tests were performed on the low carbon ferritic linepipe steel before and after annealing at 700 °C with different holding times. The experimental results have been used to characterise the unified constitutive equations, using an Evolutionary Programming (EP)-based optimisation method. Using these equations, the stress–strain relationships for the interrupted constant strain rate tensile tests were predicted and close agreement between the computed and experimental results was obtained, for various annealing times and for the materials with different amounts of pre-deformation.     

Contact Stress Distribution Under a Rigid Cylinder Rolling Over a Prestressed Strip

A nonsymmetric quasistationary problem for a strip with initial stresses is solved under the linearized theory of elasticity for harmonic and Bartenev–Khazanovich potentials. The Hankel integral transform is used to solve the differential equations that describe the stress–strain state of the strip. The dependences of the normal and tangential stresses and stress intensity factors on the elongation are plotted     

A Note on the Theory of Short-Term Microdamageability of Granular Composites under Thermal Actions

The theory of microdamageability of granular composites is stated with allowance made for the thermal effect. Microdamages in the components are modeled by pores, hollow or filled with particles of the destroyed material that resist compression. The fracture criterion is assumed to have the Schleicher–Nadai form, which takes into account the difference between the tensile and compressive ultimate loads, with the ultimate strength being a random function with a power or Weibull distribution. The stress–strain state and effective properties of the material are determined from the stochastic thermoelastic equations for granular composites with porous components. The equations of deformation and microdamage are closed by the equation of porosity balance corrected for the thermal effect. Nonlinear diagrams are plotted for the concurrent processes of deformation of a granular material and microdamage of the matrix as functions of macrostrains and temperature. The influence of the physical and geometrical parameters on the processes is analyzed.     

钢筋锈胀引发混凝土保护层开裂破坏的细观数值研究

钢筋锈蚀膨胀引起保护层混凝土开裂是影响钢筋混凝土结构耐久性和服役寿命的重要因素。考虑到混凝土细观结构组成对保护层破坏模式的影响,从细观角度出发,将混凝土看作由骨料、砂浆基质及两者间界面过渡区组成的三相复合材料,建立了描述钢筋锈胀力学行为的混凝土随机骨料模型。采用塑性损伤本构关系模型来表征砂浆基质和过渡区界面的力学行为,假定钢筋均匀锈蚀,对钢筋锈胀引起的混凝土保护层开裂破坏过程进行了细观数值研究。对比了宏观均匀模型与细观非均质模型下获得的保护层破坏模式,探讨了径厚比(c/d)、钢筋位置(中部和角区)及混凝土拉伸强度对保护层破坏模式及保护层胀裂时钢筋锈蚀水平的影响,得到了一些有益结论。     

Short-Term Damage Micromechanics of Laminated Fibrous Composites Under Thermal Actions

A microdamage theory is constructed for laminated fibrous materials with transversely isotropic fibers and a porous isotropic matrix under thermal actions. Microdamages in the matrix are simulated by pores, empty or filled with particles of the damaged material that resist compression. The fracture criterion for a microvolume of the matrix is assumed to have the Nadai–Schleicher form, which takes into account the difference between the tensile and compressive ultimate loads, with the ultimate strength being a random function of coordinates with a power or Weibull distribution. The stress–strain state and the effective properties of the material are determined from the thermoelastic equations for laminated fibrous materials with a porous matrix. The deformation and microdamage equations are closed by the porosity balance equations corrected for the thermal effect. For various types of loading, nonlinear relations are derived for the coupled processes of deformation of a laminated fibrous material and microdamage of the matrix due to the thermal macrostrain. The effect of physical and geometrical parameters on these processes is studied.     

Analytical elasto-creep model of interfacial thermal stresses and strains in trilayer assemblies

A two-dimensional model has been developed for thermal stresses, elastic strains, creep strains, and creep energy density at the interfaces of short and long trilayer assemblies under both plane stress and plane strain conditions. Both linear (viscous) and non-linear creep constitutive behavior under static and cyclic thermal loading can be modeled for all layers. Interfacial stresses and strains are approximated using a combination of exact elasticity solutions and elementary strength of materials theories. Partial differential equations are linearized through a simple finite difference discretization procedure. The approach is mathematically straightforward and can be extended to include plastic behavior and problems involving external loads and a variety of geometries. The model can provide input data for thermal fatigue life prediction in solder or adhesive joints. For a typical solder joint, it is demonstrated that the predicted cyclic stress–strain hysteresis shows shakedown and a rapid stabilization of the creep energy dissipation per cycle in agreement with the predictions of finite element analysis.     

Evolution of plastic damage in welded joint of steel truss with pre-existing defects

Experimental analyses are made for the local damage evolution of structural response for a steel truss structure with pre-existing defects in welded joints. Employing a scaled down specimen of the steel truss present in decks of long-span bridges, the photoelastic coating method is adopted to obtain data information on local hot-spot strains near the welded joints while strain and displacement gauges are employed for collecting information on the response of the global structure. Initially, a finite element model of the steel truss is established for the purpose of pre-experimental evaluation. Defects such as holes and a crack are pre-existing near the welded joints. The local plastic damage evolution is captured by photoelastic images and evaluated in relation to the global structural mechanical performance. Local defects tend to affect the weldment details and structural rigidity more appreciably than changes in the structural nominal strains.