今日更新:Journal of the Mechanics and Physics of Solids 2 篇,Thin-Walled Structures 1 篇
Thermo-chemo-mechanical model and variational multiscale framework for material and geometric evolution in frontal polymerization
Ignasius P.A. Wijaya, Philippe Geubelle, Arif Masud
doi:10.1016/j.jmps.2025.106078
正面聚合中材料和几何演化的热-化学-力学模型和变分多尺度框架
This paper presents a thermodynamically consistent model for thermo-chemo-mechanical processes in frontal polymerization (FP). The model consists of cure kinetics, heat transfer, and finite strain kinematics of nonlinear inelastic solid undergoing finite deformation. The constitutive relations are derived by enforcing non-negative entropy production which implies the existence of cure induced inelastic processes during material property evolution. Rapid curing triggered by thermo-chemical processes results in traveling reaction fronts that traverse the domain, and material properties evolve across these fronts on short time scales, accompanied with chemical expansion/contraction of the constituents. Complexity of the process increases with increased rate of chemical reaction, increased rate of mass transport, and large mechanical deformations. Evolving nonlinearities and coupled thermo-chemo-mechanical effects give rise to spatially localized phenomena that exhibit shear bands, steep gradients, and boundary and/or internal layers. The presence of interfacial effects can also trigger jumps in the fields, leading to further classification as mathematically non-smooth mixed-field problems. These modeling issues require mathematical formulations that can handle rapidly evolving material nonlinearity as well as steep traveling gradients. A stabilized finite element method that is based on the Variational Multiscale (VMS) framework is employed. A unique attribute of the VMS framework is the derivation of the residual-based fine-scale models that represent subgrid scale physics. These models enhance the stability of the numerical method as well as the accuracy of the computed physics. Several test cases are presented that investigate the mathematical attributes of the constitutive model for FP, and the role of enhanced stability and higher spatial accuracy of the proposed stabilized method in free-form printing with evolving polymerization front.
本文提出了正面聚合(FP)中热化学机械过程的热力学一致性模型。该模型由非线性非弹性固体在有限变形时的固化动力学、传热和有限应变运动学组成。本构关系是通过强制非负熵产生推导出来的,这意味着在材料性能演化过程中存在固化诱导的非弹性过程。由热化学过程引发的快速固化导致了穿越区域的移动反应前沿,材料性质在短时间尺度上跨越这些前沿演变,伴随着成分的化学膨胀/收缩。过程的复杂性随着化学反应速率的增加、质量传递速率的增加和大的机械变形而增加。不断演变的非线性和耦合的热-化学-机械效应产生了空间局部现象,表现为剪切带、陡峭梯度、边界和/或内层。界面效应的存在也可以触发场的跳跃,导致进一步分类为数学上的非光滑混合场问题。这些建模问题需要能够处理快速发展的材料非线性以及陡峭的行进梯度的数学公式。采用了一种基于变分多尺度框架的稳定有限元方法。VMS框架的一个独特属性是派生了基于残差的细尺度模型,该模型表示子网格尺度物理。这些模型提高了数值计算方法的稳定性和计算结果的准确性。提出了几个测试用例来研究FP本构模型的数学属性,以及所提出的稳定方法在具有进化聚合前沿的自由形状打印中增强稳定性和更高空间精度的作用。
Strength and Stiffness of Network Materials with Preferentially Oriented Fibers
S.N. Amjad, R.C. Picu
doi:10.1016/j.jmps.2025.106101
优先取向纤维网状材料的强度和刚度
Materials made from fibers, referred to here as Network materials, are ubiquitous in biology and engineering. In most practical situations, fibers have preferential orientation in one spatial direction or in a plane. Here we use discrete network models to derive the relationship between the stiffness and strength of networks with pre-aligned fibers and network parameters, including the degree of alignment. Both stiffness and strength can be represented by the product of two functions, one accounting for the effect of alignment and the other representing the effect of network parameters, such as the network density and fiber properties. Failure under multiaxial loading is also considered and it is concluded that failure surfaces in stress space can be collapsed by normalizing the axes with the respective (pre-alignment-dependent) uniaxial strength. This generalizes the structure-properties relation established based on uniaxial tests to the multiaxial case. The inferred scaling laws are compared with a collection of experimental data from the literature obtained with diverse network materials.
由纤维制成的材料,在这里被称为网络材料,在生物和工程中无处不在。在大多数实际情况下,纤维在一个空间方向或在一个平面上具有优先取向。在这里,我们使用离散网络模型来推导具有预对准纤维的网络的刚度和强度与网络参数(包括对准程度)之间的关系。刚度和强度都可以用两个函数的乘积来表示,一个函数代表对准的影响,另一个函数代表网络参数的影响,如网络密度和纤维性能。还考虑了多轴载荷下的破坏,并得出结论,应力空间中的破坏面可以通过用各自的(预对准依赖的)单轴强度归一化轴来崩溃。这将基于单轴试验建立的结构-性能关系推广到多轴情况。推导出的标度定律与不同网络材料的文献实验数据进行了比较。
Dynamic frequency analysis of rotating double-layer conical thin shells coupled with semi re-entrant zero Poisson's ratio honeycomb sandwich annular plates
Li Yongqiang
doi:10.1016/j.tws.2025.113136
半重入零泊松比蜂窝夹层环板耦合双层旋转锥形薄壳的动力频率分析
This paper proposes a computational method based on the substructure synthesis approach to analyze the dynamic frequency of rotating double-layer conical thin shells coupled with semi re-entrant (SER) zero Poisson's ratio (ZPR) honeycomb sandwich annular plates (HSAP). The double-layer conical shell is divided into several conical shell substructures according to the position of the annular plate. The dynamic models of the conical shell and annular plate substructures are established based on the Flügge and Donnell-Mushtari thin shell/plate theories, incorporating centrifugal and Coriolis inertia forces. The displacements of the substructures are expressed as a combination of power series and Fourier series. All substructures are assembled using the continuity conditions for eight displacements and four forces at the coupling interfaces of adjacent substructures, and the global free vibration equation of the structure is constructed with the boundary conditions at the ends of the conical shell. The validity of the proposed method is verified through two examples. First, the results obtained using the proposed method are compared with those of the wave based method by converting the conical shell into a cylindrical shell and setting the rotational speed to zero. Second, the calculated dynamic frequencies of the rotating double-layer conical thin shells coupled with SER ZPR HSAP (SZHSAP) are compared with those obtained via the finite element method. Finally, the effects of various boundary conditions, rotational speeds, and geometric parameters of the conical shell and annular plate on the dynamic frequencies of the coupled structure are analyzed.
本文提出了一种基于子结构综合方法的双层锥形薄壳与半重入零泊松比蜂窝夹层环板耦合的动态频率计算方法。双层圆锥壳根据环形板的位置分为若干圆锥壳子结构。基于fl<s:2> gge和Donnell-Mushtari薄壳/薄板理论,考虑离心力和科里奥利惯性力,建立了锥形壳和环形板子结构的动力学模型。子结构的位移用幂级数和傅里叶级数的组合表示。采用相邻子结构耦合界面处8个位移和4个力的连续条件对所有子结构进行组合,并以圆锥壳两端的边界条件构建结构的整体自由振动方程。通过两个算例验证了该方法的有效性。首先,将该方法与基于波的方法进行了比较,将锥壳转换为圆柱壳,并设置转速为零。其次,将计算得到的双层锥形薄壳与SER - ZPR - HSAP (SZHSAP)耦合的动态频率与有限元法进行了比较。最后,分析了不同边界条件、转速和圆锥壳-环形板几何参数对耦合结构动力频率的影响。