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The spring particle model assumes that the fabric has uniform density, with identical properties in both warp and weft directions, and ignores the fabric's thickness. It divides the fabric into a regular grid of four-sided particles, where each mass point is connected to its neighbors through springs. This approach discretizes the fabric into a set of mass nodes linked by massless springs, which transmit forces through elastic deformation. The bending model for fabric is based on bending springs, allowing it to behave as a flexible material. Bending refers to the fabric's ability to deform when subjected to forces or moments perpendicular to its plane. This property helps provide shear rigidity and prevents unrealistic folding or twisting within the same plane. Fabric shear properties are typically evaluated using two main indicators: shear stiffness, which measures the fabric’s resistance to shear deformation, defined as the shear force per unit width divided by the area of shear deformation; and shear hysteresis, which represents the difference between the shear deformation curve and the recovery curve during loading and unloading. When simulating the interaction between a virtual probe and the fabric, the mechanical model records the contact points and the triangular mesh structure at the moment of contact. The system iterates through all the mass points, calculating their distance from the probe to determine the closest particle affected by the applied force. Once identified, the particle moves in the opposite direction of the external force exerted by the probe. The kinematic solution assumes a linear spring particle model, where the initial spring length is considered zero, and the spring force follows Hooke’s law. Each particle’s motion is governed by Newton’s second law, meaning that when a force is applied, the particle displaces, and the connected masses also move due to the spring force. As a result, the entire fabric deforms as each particle shifts to a new position under stress, creating a realistic simulation of fabric behavior.

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