橡胶弹簧非线性刚度的有限元解

本文探讨了用双重非线性有限元手段，求解橡胶弹簧的非线性刚度。橡胶的本构关系采用了广义虎克定律和基于应变能的超弹性材料的本构关系联合使用的方案，用单元内的静水压力ｐ，来修正广义虎克定律的弹性常数Ｅ和Ｇ。还提出了带刚性域的超单元和波前凝聚法两种新的办法，获得橡胶弹簧的刚度，使内存用量和ＣＰＵ时间大幅度下降。因而几何、物理双重非线性橡胶弹簧的计算，能在微机上实现。文内选用英国ＤＵＮＬＯＰ橡胶公司橡胶元件     

常规螺杆泵定子有限元分析

螺杆泵定子橡胶不仅是易损构件，而且它与转子的配合状况对螺杆泵的工作性能影响显著。目前，还没有能够直接对实际工况下的定子橡胶的变形和受力状态进行测试的有效手段，因此对螺杆泵定子进行有限元分析自然是有益的尝试。重点研究定子橡胶衬垫内轮廓线的变形规律，而应力和应变分布情况仅作为辅助性的分析；对螺杆泵工况的考虑方面，重点研究均匀内压作用的情况，再考虑工作压差以及定子与转子的装配等所引起定子橡胶的变形和受力的变化。利用有限元分析软件Abaqus，对螺杆泵定子进行研究，得出了螺杆泵定子在不同工况下的受力状态和变形规律以及定子材料参数对变形规律的影响。利用此规律可对螺杆泵进行优化设计，提高其工作效率。     

Head-on collision between normal shock waves and a rubber-supported plate,a parametric study

The equations governing the flow resulting from a head-on collision between a normal shock wave and a rubber-supported plate are listed. The non-dimensional parameters that may affect the resulting flow are specified and their influence on the post-collision flow and waves is studied numerically. It is shown that changes in: the area-ratio between the gas and the rubber cross-sections, the incident shock wave Mach number and the mass ratio between the rubber and the plate it supports, all have significant effects on the post-collision gas and rubber responses. Changes in the rubber elasticity constant also affect the post-collision flow. The extent of the effect that changes in the above mentioned parameters have on the post-collision flow responses depends upon the loading mode used. Three different modes were studied; uni-axial stress loading, bi-axial stress loading and uni-axial strain loading.This article was processed using Springer-Verlag T_EX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.     

Effect of the Super Network on Rubber Reinforcement

The influence of carbon black (CB) on rubber reinforcement was studied. A new reinforcement model, the super network structure model, was proposed. The super network is composed of irreversible chemical crosslinks and reversible physical crosslinks due to CB–rubber interaction. The two crosslink systems are not isolated but interlaced with each other. With increased interaction strength of the reversible physical crosslinks, the CB reinforcement became more effective.     

Preparation and Properties of Natural Rubber (NR)/Polycaprolactone (PCL) Bio-Based Shape Memory Polymer Blends

Shape memory NR/PCL bio-based blends, where NR served as the reversible phase and PCL served as the switching phase, were prepared using a melt blending process. Peroxide, besides its role as a cross-linking agent to NR, was used to enhance the compatibility between NR and PCL, which was confirmed via Fourier transform infrared spectra and scanning electron microscopy analyses. With increasing peroxide content, the tensile strength increased steadily with decreasing PCL contents, up to 12.3 ± 0.8 MPa for the NR/PCL (70/30) blend at 2 phr peroxide. The shape fixing ratio decreased slightly with increasing peroxide content, especially for high NR content. The values of the shape recovery ratio were high, up to 100%, regardless of PCL content. The recovery stress was found to reach its maximum value around 60°C. In order to consider both fixing ratio (R_f) and recovery ratio (R_r) together, an additional denotation of shape memory index, R_fR_r, coupling both ratios by the product of the fixing ratio and recovery ratio, is proposed. The shape memory index (R_fR_r) reached values close to 100%, at the NR/PCL composition of 50/50 and 70/30; in particular, the highest value was for the 50/50 case regardless of peroxide concentration. The shape recovery ratio and fixing ratio remained largely unchanged even after 30 cycles of deformation and recovery processes for a typical NR/PCL/DCP (30/70/0.5) blend which, thus, outperformed all known shape memory blends in the literature.     

Comparison of Structure,Morphology, and Properties of Miktoarms Star Styrene-Butadiene Rubber and Star-Shaped Styrene-Butadiene Rubbe/Polybutadiene Rubber Blends

Four miktoarms star-shaped polybutadiene-Sn-poly(styrene-butadiene) rubber (MSS-PB-PSBR) with 1,1-diphenylhexyl at the ends of the arms were prepared by two different coupling techniques. One technique was a one-step technology, from which two miktoarms star styrene-butadiene rubbers, called AMSS-PB-PSBR, were obtained in which the four arm stars had varying ratios of PB:PSBR arms; another was a two-step technology, from which another two miktoarms star styrene-butadiene rubbers, called BMSS-PB-PSBR, were obtained in which all consisted of PB-Sn-(PSBR)₃ stars. The molecular structure parameters and morphology-properties of the four MSS-PB-PSBR were determined and studied, and compared with that of a star-shaped styrene-butadiene rubber (S-SSBR)/poly butadiene rubber (PBR) blend. The results showed that the total coupling efficiency (the ratio of the total number of polymer chains (arms) coupled by SnCl₄ to that of the total number of polymer chains) of the MSS-PB-PSBR was higher than 60%. However, the coupling efficiency of the polybutadiene arms of BMSS-PB-PSBR was obviously higher than that of the AMSS-PB-PSBR. Compared with the S-SSBR/PBR blend, MSS-PB-PSBR had a more uniform distribution of the PB phase and a smaller phase size of PB. It was found that MSS-PB-PSBR composites filled with carbon black (CB) had a lower Payne effect than the S-SSBR/PBR/CB composite, with the BMSS-PB-PSBR/CB composites being especially lower. The BMSS-PB-PSBR/CB composites had higher mechanical properties and lower rolling resistance than the AMSS-PB-PSBR/CB composites due to the high coupling efficiency of the polybutadiene arms; the results indicated that the two-step technology was better than the one-step technology for preparing the tread material of “green” tires.     

Dynamic Mechanical Properties of Phenolic Resin/Chlorinated Butyl Rubber Composites

Chlorinated butyl rubber composites were prepared by a compounding and vulcanizing process using phenolic resin (PF) as the vulcanizing agent and carbon black as filler. Instead of using the conventional vulcameter method to determine the vulcanizing parameters, the vulcanization temperature and time were obtained by differential scanning calorimetry (DSC) and tensile testing, respectively. Dynamic mechanical analysis (DMA) showed that, higher PF content resulted in higher E′ and lower tanδ, and variations of E′ and tanδ with temperature were consistent with the time-temperature equivalence principle. It is proposed that chlorinated butyl rubber using phenolic resin as the vulcanizing agent could be used as potential damping materials in the temperature range 20–100°C and frequencies 0.1–100 Hz.     

Preparation of Latexes with Poly(Methyl Methacrylate) Cores and Hydrophilic Polymer Shells Containing Amino Groups

Abstract

Functional latexes with poly(methyl methacrylate) (PMMA) cores and amino‐containing, water‐soluble polymer shells were synthesized via direct graft copolymerization of methyl methacrylate from water‐soluble polymers induced by a small amount of tert‐butyl hydroperoxide (TBHP) at 80°C for 2 h. Amphiphilic graft copolymers and PMMA homopolymers were generated concurrently to form highly monodispersed latexes. The effects of water‐soluble polymer containing different amino group, reaction temperature, TBHP concentration, molecular weight of the polymer and pH of the solution on conversion and grafting efficiency of the monomer and particle size were investigated. Transmission electron microscopic images of the PMMA/poly(ethyleneimine) (PEI) and PMMA/poly(allylamine) (PAA) particles clearly show well‐defined core‐shell morphologies, where PMMA cores are coated with either PEI or PAA shell. The amino‐containing polymer shells were also confirmed with zeta‐potential measurements. Furthermore, the amino‐containing latexes can be produced with a solids content up to 22 wt.%. Thus, this method provides a commercially viable route to functional latexes.