Heterogeneous Layered Structures Can Modulate Human Softness Perception

📅 2026-04-21
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🤖 AI Summary
Existing research on tactile softness perception has largely focused on homogeneous materials, overlooking the influence of heterogeneous layered structures. This study addresses this gap by fabricating six-layer lattice structures with controlled stiffness gradients via 3D printing and systematically investigating how the depth-dependent compliance of surface and subsurface layers modulates softness perception. Integrating psychophysical experiments, compressive mechanical testing, and linear mixed-effects modeling, the work demonstrates that perceived softness is primarily predicted by displacement under load and is predominantly governed by the surface layer. Notably, the second and third subsurface layers significantly enhance softness perception, while the fourth layer shows negligible contribution, with deeper layers exhibiting a progressively diminishing effect. These findings reveal that softness perception is not solely determined by overall stiffness but is finely tuned by the mechanical properties of shallow layers.

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📝 Abstract
Human softness perception in haptics has mainly been studied using mechanically homogeneous objects, despite the fact that many real-world objects exhibit heterogeneous layered structures with nonuniform stiffness. This study examined how layered heterogeneity modulates haptic softness perception. Sixteen lattice-structured stimuli were fabricated by 3D printing, with the stiffness of the upper four layers systematically varied while the bottom two layers remained fixed. Twenty-two participants evaluated the softness of the stimuli in a psychophysical task, and compression tests were conducted to quantify their mechanical properties. Perceived softness was significantly predicted by displacement under load, however, perceptual ranking did not fully coincide with the physical ranking. Linear mixed-effects analyses showed that the softness of the outermost layer had the greatest impact on the perceived softness. Perceived softness also increased as the number of soft subsurface layers increased, although this contribution decreased with depth. Layers 2 and 3 showed significant effects, whereas Layer 4 did not. These findings suggest that haptic softness perception depends not only on the overall stiffness but also on the depth-dependent distribution of compliance within layered structures.
Problem

Research questions and friction points this paper is trying to address.

haptic softness perception
heterogeneous layered structures
nonuniform stiffness
depth-dependent compliance
mechanical heterogeneity
Innovation

Methods, ideas, or system contributions that make the work stand out.

heterogeneous layered structures
haptic softness perception
depth-dependent compliance
3D-printed lattice stimuli
psychophysical evaluation
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Yuno Higuchi
Faculty of Environment and Information Studies, Keio University, Japan
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Yosuke Iwashita
Faculty of Environment and Information Studies, Keio University, Japan; Graduate School of Media and Governance, Keio University, Japan
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Yuji Ohgi
Faculty of Environment and Information Studies, Keio University, Japan; Graduate School of Media and Governance, Keio University, Japan
Masashi Nakatani
Masashi Nakatani
Associate Professor at Keio University Shonan Fujisawa Campus
Tactile PerceptionSkin PhysiologySensory BiologyMerkel cellHaptic Neuroscience