Abstract
Abstract
The present study is devoted to the boundary value problems statements for the growing materials with microstructural features. The general form of tensor relations on the propagating growing surface is derived as a consequence of the conservation laws of momentum and angular momentum. The necessary system of independent arguments of constitutive differential constraints on the growing surface in micropolar continuum is determined. A complete set of joint rational invariants of the system of tensors and vectors that determine the thermodynamics of the production process of a woven 3D material is given and discussed. An invariant-complete formulation of the constitutive relations on the growing surface is obtained.
Subject
General Physics and Astronomy
Reference25 articles.
1. 3-D printing: The new industrial revolution;Berman;Business Horizons,2012
2. Thermomechanics of volumetric growth in uniform bodies;Epstein;International Journal of Plasticity,2000
3. On inhomogeneity;Maugin;growth, ageing and the dynamics of materials, Journal of Mechanics of Materials and Structures,2009
4. The Mathematics and Mechanics of Biological Growth
5. Additive manufacturing of woven carbon fibre polymer composites;Dickson;Composite Structures,2018
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献