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  "title": "Frictional contact without a small-friction bound",
  "shortTitle": "Compact cross-compliance contact",
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  "oneLine": "A matched elastic interface removes the leading normal–tangential coupling and gives a three-dimensional incremental contact existence theorem—even when lower-order coupling remains.",
  "abstract": "A written candidate proves incremental Signorini–Coulomb existence when the normal–tangential elastic cross-compliance is compact. Smooth anchored isotropic bodies sharing a closed interface realize this condition when λ₊+μ₊=λ₋+μ₋, with arbitrary finite nonnegative W¹,∞ friction. The normal pressure remains an unknown reaction. Matching also characterizes an unrestricted dominated weak-product property, not contact existence itself. Separate prescribed-pressure rate-and-state refinements retain their own assumptions.",
  "datePublished": "2026-10-05",
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    "name": "Three-dimensional incremental Signorini–Coulomb contact",
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    "Signorini-Coulomb",
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    "Equality of λ+μ realizes the hypothesis for smooth anchored bodies with a closed common interface.",
    "Lower-order coupling may remain: compactness is not exact decoupling.",
    "The converse concerns an unrestricted weak-product property, not necessity for contact existence."
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  "relatedWorks": [
    {
      "citation": "Ballard and Iurlano (2024), Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D. Normal-reaction formulation and earlier arbitrary-friction theorem.",
      "url": "https://doi.org/10.1142/S0218202524500477",
      "doi": "10.1142/S0218202524500477"
    },
    {
      "citation": "Jarušek (1983), Contact problems with bounded friction. Coercive case. Earlier small-friction results.",
      "url": "https://doi.org/10.21136/CMJ.1983.101875",
      "doi": "10.21136/CMJ.1983.101875"
    },
    {
      "citation": "Tan and Liu (2023), Determining the Lamé coefficients and elastic Dirichlet-to-Neumann map. Principal-symbol input.",
      "url": "https://arxiv.org/abs/2211.06650",
      "doi": "10.48550/arXiv.2211.06650"
    },
    {
      "citation": "Pipping et al. (2016), On the efficient and reliable numerical solution of rate-and-state friction problems. Earlier state elimination and nonconvexity.",
      "url": "https://doi.org/10.1093/gji/ggv512",
      "doi": "10.1093/gji/ggv512"
    },
    {
      "citation": "Gräser, Kornhuber and Podlesny (2024), Numerical simulation of multiscale fault systems with rate- and state-dependent friction. Logarithmic implicit Euler precedent.",
      "url": "https://doi.org/10.1007/s10596-023-10231-4",
      "doi": "10.1007/s10596-023-10231-4"
    }
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