Abstract: Computer implemented method, system and computer program product for simulating the behavior of a knitted fabric at yarn level. The method comprises: retrieving structural information of a knitted fabric; representing each stitch with four contact nodes (4) at the end of the two stitch contacts (5) between pair of loops (2), each contact node (4) being described by a 3D position coordinate (x) and two sliding coordinates (u, v) representing the arc lengths of the two yarns in contact; measuring forces on each contact node (4) based on a force model including wrapping forces to capture the interaction of yarns at stitches; calculating the movement of each contact node (4) at a plurality of time steps using equations of motion derived using the Lagrange-Euler equations, and numerically integrated over time, wherein the equations of motion account for the mass density distributed uniformly along yarns, as well as the measured forces and boundary conditions.

Abstract: Computer implemented method, system and computer program product for simulating the behavior of a woven fabric at yarn level. The method comprises. retrieving the layout of warp yarns (1), weft yarns (2) and yarn crossing nodes (3): describing each yarn crossing node (3) by a 3D position coordinate (x) and two sliding coordinates, warp sliding coordinate (u) and weft sliding coordinate (v) representing the sliding of warp (1) and weft (2) yarns; measuring forces on each yarn crossing node (3) based on a force model, the forces being measured on both the 3D position coordinate (x) and the sliding coordinates (u, v); calculating the movement of each yarn crossing node (3) using equations of motion derived using the Lagrange-Euler equations, and numerically integrated over time, wherein the equations of motion account for the mass density distributed uniformly along yarns, as well as the measured forces and boundary conditions.

Abstract: Computer implemented method, system and computer program product for simulating the behavior of a knitted fabric at yarn level. The method comprises: retrieving structural information of a knitted fabric; representing each stitch with four contact nodes (4) at the end of the two stitch contacts (5) between pair of loops (2), each contact node (4) being described by a 3D position coordinate (x) and two sliding coordinates (u, v) representing the arc lengths of the two yarns in contact; measuring forces on each contact node (4) based on a force model including wrapping forces to capture the interaction of yarns at stitches; calculating the movement of each contact node (4) at a plurality of time steps using equations of motion derived using the Lagrange-Euler equations, and numerically integrated over time, wherein the equations of motion account for the mass density distributed uniformly along yarns, as well as the measured forces and boundary conditions.

Abstract: Computer implemented method, system and computer program product for simulating the behavior of a knitted fabric at yarn level. The method comprises: retrieving structural information of a knitted fabric; representing each stitch with four contact nodes (4) at the end of the two stitch contacts (5) between pair of loops (2), each contact node (4) being described by a 3D position coordinate (x) and two sliding coordinates (u, v) representing the arc lengths of the two yarns in contact; measuring forces on each contact node (4) based on a force model including wrapping forces to capture the interaction of yarns at stitches; calculating the movement of each contact node (4) at a plurality of time steps using equations of motion derived using the Lagrange-Euler equations, and numerically integrated over time, wherein the equations of motion account for the mass density distributed uniformly along yarns, as well as the measured forces and boundary conditions.

Abstract: Computer implemented method, system and computer program product for simulating the behavior of a woven fabric at yarn level. The method comprises. retrieving the layout of warp yarns (1), weft yarns (2) and yarn crossing nodes (3): describing each yarn crossing node (3) by a 3D position coordinate (x) and two sliding coordinates, warp sliding coordinate (u) and weft sliding coordinate (v) representing the sliding of warp (1) and weft (2) yarns; measuring forces on each yarn crossing node (3) based on a force model, the forces being measured on both the 3D position coordinate (x) and the sliding coordinates (u, v); calculating the movement of each yarn crossing node (3) using equations of motion derived using the Lagrange-Euler equations, and numerically integrated over time, wherein the equations of motion account for the mass density distributed uniformly along yarns, as well as the measured forces and boundary conditions.

Abstract: A computer implemented method for simulating the behavior of a woven fabric at yarn level including: retrieving the layout of warp yarns, weft yarns and yarn crossing nodes; describing each yarn crossing node by a 3D position coordinate (x) and two sliding coordinates, warp sliding coordinate (u) and weft sliding coordinate (v) representing the sliding of warp and weft yarns; measuring forces on each yarn crossing node based on a force model, the forces being measured on both the 3D position coordinate (x) and the sliding coordinates (u, v); and calculating the movement of each yarn crossing node using equations of motion derived using the Lagrange-Euler equations, and numerically integrated over time, wherein the equations of motion account for the mass density distributed uniformly along yarns, as well as the measured forces and boundary conditions.

Abstract: Computer implemented method, system and computer program product for simulating the behavior of a knitted fabric at yarn level. The method comprises: retrieving structural information of a knitted fabric; representing each stitch with four contact nodes (4) at the end of the two stitch contacts (5) between pair of loops (2), each contact node (4) being described by a 3D position coordinate (x) and two sliding coordinates (u, v) representing the arc lengths of the two yarns in contact; measuring forces on each contact node (4) based on a force model including wrapping forces to capture the interaction of yarns at stitches; calculating the movement of each contact node (4) at a plurality of time steps using equations of motion derived using the Lagrange-Euler equations, and numerically integrated over time, wherein the equations of motion account for the mass density distributed uniformly along yarns, as well as the measured forces and boundary conditions.

Abstract: Computer implemented method, system and computer program product for simulating the behavior of a woven fabric at yarn level. The method comprises: retrieving the layout of warp yarns (1), weft yarns (2) and yarn crossing nodes (3); describing each yarn crossing node (3) by a 3D position coordinate (x) and two sliding coordinates, warp sliding coordinate (u) and weft sliding coordinate (v) representing the sliding of warp (1) and weft (2) yarns; measuring forces on each yarn crossing node (3) based on a force model, the forces being measured on both the 3D position coordinate (x) and the sliding coordinates (u, y); calculating the movement of each yarn crossing node (3) using equations of motion derived using the Lagrange-Euler equations, and numerically integrated over time, wherein the equations of motion account for the mass density distributed uniformly along yarns, as well as the measured forces and boundary conditions.