diff --git a/web/content/docs/benchmarks/hydro-mechanics/lie-hm-linear-single-fracture.md b/web/content/docs/benchmarks/hydro-mechanics/lie-hm-linear-single-fracture.md
index 794a601508b866b824d2801575b1c302d0b4ba7b..90a151e8f064b4ca5de4bd70d43a53170a696ad8 100644
--- a/web/content/docs/benchmarks/hydro-mechanics/lie-hm-linear-single-fracture.md
+++ b/web/content/docs/benchmarks/hydro-mechanics/lie-hm-linear-single-fracture.md
@@ -27,3 +27,15 @@ Result showing pore pressure increase due to the injection and subsequent fractu
 
 {{< img src="../x_p_t500.png" >}}
 {{< img src="../x_b_t500.png" >}}
+
+## 3D setup
+
+Same setup as for the given 2D case above with additional plane strain
+conditions in the front and back x-y planes.
+Warp of the 1000-times oversized displacement and the fracture's aperture are
+shown in the following figure.
+{{< img src="../single_fracture_3D.png" >}}
+
+Comparison with 2D setup yields identical results (up to numerical differences
+in order of 1e-15):
+{{< img src="../single_fracture_3D_vs_2D.png" >}}
diff --git a/web/content/docs/benchmarks/hydro-mechanics/single_fracture_3D.png b/web/content/docs/benchmarks/hydro-mechanics/single_fracture_3D.png
new file mode 100644
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diff --git a/web/content/docs/benchmarks/small-deformations/lie-m-linear-single-fracture.md b/web/content/docs/benchmarks/small-deformations/lie-m-linear-single-fracture.md
index a49c7695bd16a579bc7540bd1f7dc7d71dd93236..0967764e138257538d48f3bc9b206c5807716863 100644
--- a/web/content/docs/benchmarks/small-deformations/lie-m-linear-single-fracture.md
+++ b/web/content/docs/benchmarks/small-deformations/lie-m-linear-single-fracture.md
@@ -24,3 +24,12 @@ See [this PDF](../LIE_small_deformation.pdf) for detailed problem description.
 Result showing sliding of the upper part of the domain along the fracture:
 
 {{< img src="../LIE_SD_m_result_uy.png" >}}
+
+
+Same benchmark setup with plane strain conditions in 3D:
+{{< img src="../single_joint_3D.png" >}}
+
+Comparison with 2D setup yields identical results (up to numerical differences
+in order of 1e-15); Resulting displacement on the left axis, and error on the
+right:
+{{< img src="../single_joint_3D_2D_results.png" >}}
diff --git a/web/content/docs/benchmarks/small-deformations/single_joint_3D.png b/web/content/docs/benchmarks/small-deformations/single_joint_3D.png
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diff --git a/web/content/docs/benchmarks/small-deformations/single_joint_3D_2D_results.png b/web/content/docs/benchmarks/small-deformations/single_joint_3D_2D_results.png
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