Černý Miroslav, Petruš Josef, Pavliňáková Veronika
Faculty of Chemistry, Institute of Materials Science, Brno University of Technology, Purkyňova 464/118, 612 00 Brno, Czech Republic.
Central European Institute of Technology, Brno University of Technology, Purkyňova 656/123, 612 00 Brno, Czech Republic.
Polymers (Basel). 2022 Oct 18;14(20):4390. doi: 10.3390/polym14204390.
This study describes a new mathematical approach to the relationship between mechanical properties (tensile modulus, ultimate strength, and strain), composition as well as structure of porous-filled reinforced composites. The composite system consisted of a polyurethane matrix, a rubber filler, and a small amount of polyethylene terephthalate as a reinforcement. The newly proposed equations are based on a special mixing rule with the same basic form for all studied properties. The mixing rule contains a correction parameter η, which differs in different filler content in the filled part of the composite. Here, a cubic exponential function including the product of suitable structural parameters and exponents ensuring the best fitting and describable by matrix properties were successfully defined to fit the different values of correction parameter. The proposed equations should be a suitable step to obtain a relationship for describing the mechanical behavior of porous-filled and reinforced composites in the case of a small amount of reinforcement.
本研究描述了一种新的数学方法，用于研究多孔填充增强复合材料的力学性能（拉伸模量、极限强度和应变）、组成以及结构之间的关系。该复合体系由聚氨酯基体、橡胶填料和少量聚对苯二甲酸乙二酯作为增强材料组成。新提出的方程基于一种特殊的混合规则，所有研究性能的基本形式相同。该混合规则包含一个校正参数η，在复合材料填充部分的不同填料含量中有所不同。在此，成功定义了一个三次指数函数，该函数包括合适的结构参数和指数的乘积，确保了最佳拟合且可用基体性能描述，以拟合校正参数的不同值。对于少量增强材料的情况，所提出的方程应该是获得描述多孔填充增强复合材料力学行为关系的合适步骤。
