diff --git a/test/test_mortar_2d_contact.jl b/test/test_mortar_2d_contact.jl
new file mode 100644
index 0000000..114a6d0
--- /dev/null
+++ b/test/test_mortar_2d_contact.jl
@@ -0,0 +1,58 @@
+# This file is a part of JuliaFEM.
+# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
+
+using JuliaFEM.Test
+
+using JuliaFEM.Core: Node, Seg2, Tri3, update!, calculate_normal_tangential_coordinates!,
+                     PlaneStressLinearElasticityProblem, DirichletProblem, MortarProblem,
+                     get_elements, DirectSolver
+
+macro debug(msg)
+    haskey(ENV, "DEBUG") || return
+    return msg
+end
+
+@testset "2d frictionless contact" begin
+    nodes = Node[
+        [3.0, 3.0],
+        [4.0, 6.0],
+        [0.0, 0.0],
+        [3.0, 0.0],
+        [4.0, 0.0],
+        [10.0, 0.0]]
+    fel1 = Tri3([3, 4, 1])
+    fel2 = Tri3([5, 6, 2])
+    bnd1 = Seg2([3, 4])
+    bnd2 = Seg2([5, 6])
+    sel = Seg2([1, 4])
+    mel = Seg2([5, 2])
+    update!([fel1, fel2, sel, mel, bnd1, bnd2], "geometry", nodes)
+
+    prob = PlaneStressLinearElasticityProblem()
+    push!(prob, fel1, fel2)
+    update!(get_elements(prob), "youngs modulus", 90.0)
+    update!(get_elements(prob), "poissons ratio", 0.25)
+
+    bc = DirichletProblem("displacement", 2)
+    push!(bc, bnd1, bnd2)
+    update!(get_elements(bc), "displacement", 0.0 => Vector{Float64}[[0.0, 0.0], [0.0, 0.0]])
+
+    cont = MortarProblem("displacement", 2)
+    push!(cont, sel, mel)
+    calculate_normal_tangential_coordinates!(sel, 0.0)
+    sel["master elements"] = [mel]
+
+    @debug begin
+        info("fel1.fields = $(fel1.fields)")
+        info("bnd1.fields = $(bnd1.fields)")
+    end
+
+    solver = DirectSolver()
+    push!(solver, prob)
+    push!(solver, bc)
+    push!(solver, cont)
+    solver.method = :UMFPACK
+    solver.max_iterations = 5
+    call(solver, 0.0)
+end
+