import { VecN } from '@holotope/core';
import { type SimplexConstitutiveEvaluationN } from './simplex-constitutive.js';
import { type SimplexConstitutiveHessianVectorEvaluationN } from './simplex-constitutive-curvature.js';
/** Compressible Neo-Hookean parameters in intrinsic material coordinates. */
export interface SimplexCompressibleNeoHookeanMaterialN {
    /** First Lame parameter. This reference requires `lambda >= 0`. */
    readonly firstLameParameter: number;
    /** Shear modulus `mu > 0`. */
    readonly shearModulus: number;
}
export interface SimplexCompressibleNeoHookeanEvaluationN extends SimplexConstitutiveEvaluationN<SimplexCompressibleNeoHookeanMaterialN> {
    /** `log(J)`, where `J` is the positive current/rest intrinsic measure ratio. */
    readonly volumetricLogStrain: number;
}
export declare const SIMPLEX_COMPRESSIBLE_NEO_HOOKEAN_LAW_ID = "compressible-neo-hookean";
/**
 * Evaluates a compressible Neo-Hookean law on a k-simplex embedded in RN.
 *
 * Embedded elements use their positive intrinsic measure ratio. A
 * full-dimensional element must preserve signed orientation. Collapse or
 * inversion is outside this constitutive chart and is refused explicitly.
 */
export declare function evaluateSimplexCompressibleNeoHookeanN(restPositions: readonly VecN[], currentPositions: readonly VecN[], material: SimplexCompressibleNeoHookeanMaterialN): SimplexCompressibleNeoHookeanEvaluationN;
/**
 * Evaluates the exact matrix-free Neo-Hookean potential Hessian direction.
 *
 * The implementation differentiates the intrinsic material stress directly;
 * it neither assembles a dense Hessian nor perturbs the authored positions.
 */
export declare function evaluateSimplexCompressibleNeoHookeanHessianVectorN(restPositions: readonly VecN[], currentPositions: readonly VecN[], directions: readonly VecN[], material: SimplexCompressibleNeoHookeanMaterialN): SimplexConstitutiveHessianVectorEvaluationN<SimplexCompressibleNeoHookeanEvaluationN>;
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