Amorphous Micro-Lattice Architecture for Isotropic Mechanical Rigidity
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Solution Overview
Problem
Existing micro-lattices with periodic architectures exhibit anisotropic mechanical behavior, leading to reduced rigidity and increased brittleness in certain directions, making it difficult to define mechanical properties using standard constants like Young's modulus and Poisson's ratio, and compromising isotropy and mechanical performance.
Innovation Solution
A method for producing an amorphous three-dimensional micro-lattice architecture by randomly arranging non-deformable beads, performing triangulation to achieve high connectivity, and selecting a sub-domain to ensure homogeneous micro-beam lengths, resulting in an isotropic and mechanically superior structure.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Strength
If periodic micro-lattice architecture is used, then rigidity-to-density ratio is improved, but mechanical behavior becomes anisotropic
Solution Approach 1:
The patent applies asymmetry by transitioning from a periodic symmetric architecture to an amorphous asymmetric architecture. The micro-beams are arranged in a random amorphous pattern rather than a periodic lattice, which eliminates the directional preference inherent in periodic structures. This asymmetric random arrangement maintains high connectivity (average coordination number ≥12) to preserve rigidity while achieving isotropic mechanical behavior in all directions.
2Stability of the object's composition
If random pore introduction is used, then isotropic mechanical behavior is achieved, but rigidity is drastically reduced
Solution Approach 1:
The patent applies parameter changes by fundamentally altering the architectural parameters from random pore distribution to a controlled amorphous micro-lattice structure with high connectivity. Specifically, the average coordination number is maintained at ≥12, and the micro-beam diameter-to-length ratio is optimized. These parameter changes enable the structure to achieve both isotropy (through amorphous random arrangement) and high rigidity (through high connectivity and optimized geometry), resolving the contradiction between the two properties.
3Strength
If connectivity Z is increased to ≥12, then rigidity is improved, but structural complexity increases
Solution Approach 1:
The patent applies self-service by using computational algorithms (such as Voronoi tessellation or Poisson disk generation) to automatically generate the amorphous micro-lattice architecture with the desired connectivity properties. The computer-implemented method autonomously creates the complex high-connectivity structure without requiring manual design of each connection, thereby achieving high rigidity (connectivity ≥12) while managing structural complexity through automation and algorithmic generation.
Data Source
AI summary
The invention relates to a method for producing an amorphous three-dimensional architecture of the micro-lattice type formed of micro-beams connected together by nodes, which comprises: A) performing (100) a computer-implemented design step consisting, on the basis of a three-dimensional random arrangement (INIT) of non-deformable beads, in: a) producing (101) a three-dimensional random compact stack of said beads; b) for each bead, determining (102) the coordinates of the centre of the bead which correspond to those of a node; c) performing (103) a triangulation with said nodes, each triangle thus being defined with the nodes closest to one another, then associating two nodes connected by one side of a triangle to a micro-beam in order to define the micro-lattice; d) selecting (104) a sub-domain of the micro-lattice obtained in step c), not comprising the nodes located at the edge of the micro-lattice in order to define said amorphous three-dimensional architecture, the design step involving an average connectivity of the nodes greater than or equal to twelve, the design step providing for defining a shape and associated transverse dimensions for each micro-beam; and B) producing (200) the architecture designed in step A).